What is the Least Common Multiple of 19815 and 19820?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 19815 and 19820 is 78546660.
LCM(19815,19820) = 78546660
Least Common Multiple of 19815 and 19820 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19815 and 19820, than apply into the LCM equation.
GCF(19815,19820) = 5
LCM(19815,19820) = ( 19815 × 19820) / 5
LCM(19815,19820) = 392733300 / 5
LCM(19815,19820) = 78546660
Least Common Multiple (LCM) of 19815 and 19820 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19815 and 19820. First we will calculate the prime factors of 19815 and 19820.
Prime Factorization of 19815
Prime factors of 19815 are 3, 5, 1321. Prime factorization of 19815 in exponential form is:
19815 = 31 × 51 × 13211
Prime Factorization of 19820
Prime factors of 19820 are 2, 5, 991. Prime factorization of 19820 in exponential form is:
19820 = 22 × 51 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 19815 and 19820.
LCM(19815,19820) = 31 × 51 × 13211 × 22 × 9911
LCM(19815,19820) = 78546660
Related Least Common Multiples of 19815
- LCM of 19815 and 19819
- LCM of 19815 and 19820
- LCM of 19815 and 19821
- LCM of 19815 and 19822
- LCM of 19815 and 19823
- LCM of 19815 and 19824
- LCM of 19815 and 19825
- LCM of 19815 and 19826
- LCM of 19815 and 19827
- LCM of 19815 and 19828
- LCM of 19815 and 19829
- LCM of 19815 and 19830
- LCM of 19815 and 19831
- LCM of 19815 and 19832
- LCM of 19815 and 19833
- LCM of 19815 and 19834
- LCM of 19815 and 19835
Related Least Common Multiples of 19820
- LCM of 19820 and 19824
- LCM of 19820 and 19825
- LCM of 19820 and 19826
- LCM of 19820 and 19827
- LCM of 19820 and 19828
- LCM of 19820 and 19829
- LCM of 19820 and 19830
- LCM of 19820 and 19831
- LCM of 19820 and 19832
- LCM of 19820 and 19833
- LCM of 19820 and 19834
- LCM of 19820 and 19835
- LCM of 19820 and 19836
- LCM of 19820 and 19837
- LCM of 19820 and 19838
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