What is the Least Common Multiple of 49832 and 49836?
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 49832 and 49836 is 620856888.
LCM(49832,49836) = 620856888
Least Common Multiple of 49832 and 49836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49832 and 49836, than apply into the LCM equation.
GCF(49832,49836) = 4
LCM(49832,49836) = ( 49832 × 49836) / 4
LCM(49832,49836) = 2483427552 / 4
LCM(49832,49836) = 620856888
Least Common Multiple (LCM) of 49832 and 49836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49832 and 49836. First we will calculate the prime factors of 49832 and 49836.
Prime Factorization of 49832
Prime factors of 49832 are 2, 6229. Prime factorization of 49832 in exponential form is:
49832 = 23 × 62291
Prime Factorization of 49836
Prime factors of 49836 are 2, 3, 4153. Prime factorization of 49836 in exponential form is:
49836 = 22 × 31 × 41531
Now multiplying the highest exponent prime factors to calculate the LCM of 49832 and 49836.
LCM(49832,49836) = 23 × 62291 × 31 × 41531
LCM(49832,49836) = 620856888
Related Least Common Multiples of 49832
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Related Least Common Multiples of 49836
- LCM of 49836 and 49840
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- LCM of 49836 and 49846
- LCM of 49836 and 49847
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- LCM of 49836 and 49850
- LCM of 49836 and 49851
- LCM of 49836 and 49852
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