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What is the Least Common Multiple of 60908 and 60927?

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 60908 and 60927 is 3710941716.

LCM(60908,60927) = 3710941716

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Least Common Multiple of 60908 and 60927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60908 and 60927, than apply into the LCM equation.

GCF(60908,60927) = 1
LCM(60908,60927) = ( 60908 × 60927) / 1
LCM(60908,60927) = 3710941716 / 1
LCM(60908,60927) = 3710941716

Least Common Multiple (LCM) of 60908 and 60927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60908 and 60927. First we will calculate the prime factors of 60908 and 60927.

Prime Factorization of 60908

Prime factors of 60908 are 2, 15227. Prime factorization of 60908 in exponential form is:

60908 = 22 × 152271

Prime Factorization of 60927

Prime factors of 60927 are 3, 23, 883. Prime factorization of 60927 in exponential form is:

60927 = 31 × 231 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 60908 and 60927.

LCM(60908,60927) = 22 × 152271 × 31 × 231 × 8831
LCM(60908,60927) = 3710941716