What is the Least Common Multiple of 61976 and 61994?
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 61976 and 61994 is 1921070072.
LCM(61976,61994) = 1921070072
Least Common Multiple of 61976 and 61994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61976 and 61994, than apply into the LCM equation.
GCF(61976,61994) = 2
LCM(61976,61994) = ( 61976 × 61994) / 2
LCM(61976,61994) = 3842140144 / 2
LCM(61976,61994) = 1921070072
Least Common Multiple (LCM) of 61976 and 61994 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61976 and 61994. First we will calculate the prime factors of 61976 and 61994.
Prime Factorization of 61976
Prime factors of 61976 are 2, 61, 127. Prime factorization of 61976 in exponential form is:
61976 = 23 × 611 × 1271
Prime Factorization of 61994
Prime factors of 61994 are 2, 139, 223. Prime factorization of 61994 in exponential form is:
61994 = 21 × 1391 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 61976 and 61994.
LCM(61976,61994) = 23 × 611 × 1271 × 1391 × 2231
LCM(61976,61994) = 1921070072
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Related Least Common Multiples of 61994
- LCM of 61994 and 61998
- LCM of 61994 and 61999
- LCM of 61994 and 62000
- LCM of 61994 and 62001
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