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What is the Least Common Multiple of 60927 and 60934?

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 60927 and 60934 is 3712525818.

LCM(60927,60934) = 3712525818

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Least Common Multiple of 60927 and 60934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60927 and 60934, than apply into the LCM equation.

GCF(60927,60934) = 1
LCM(60927,60934) = ( 60927 × 60934) / 1
LCM(60927,60934) = 3712525818 / 1
LCM(60927,60934) = 3712525818

Least Common Multiple (LCM) of 60927 and 60934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60927 and 60934. First we will calculate the prime factors of 60927 and 60934.

Prime Factorization of 60927

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

60927 = 31 × 231 × 8831

Prime Factorization of 60934

Prime factors of 60934 are 2, 30467. Prime factorization of 60934 in exponential form is:

60934 = 21 × 304671

Now multiplying the highest exponent prime factors to calculate the LCM of 60927 and 60934.

LCM(60927,60934) = 31 × 231 × 8831 × 21 × 304671
LCM(60927,60934) = 3712525818