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What is the Least Common Multiple of 60907 and 60921?

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 60907 and 60921 is 530073621.

LCM(60907,60921) = 530073621

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Least Common Multiple of 60907 and 60921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60907 and 60921, than apply into the LCM equation.

GCF(60907,60921) = 7
LCM(60907,60921) = ( 60907 × 60921) / 7
LCM(60907,60921) = 3710515347 / 7
LCM(60907,60921) = 530073621

Least Common Multiple (LCM) of 60907 and 60921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60907 and 60921. First we will calculate the prime factors of 60907 and 60921.

Prime Factorization of 60907

Prime factors of 60907 are 7, 11, 113. Prime factorization of 60907 in exponential form is:

60907 = 72 × 111 × 1131

Prime Factorization of 60921

Prime factors of 60921 are 3, 7, 967. Prime factorization of 60921 in exponential form is:

60921 = 32 × 71 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 60907 and 60921.

LCM(60907,60921) = 72 × 111 × 1131 × 32 × 9671
LCM(60907,60921) = 530073621