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What is the Least Common Multiple of 60927 and 60931?

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 60931 is 3712343037.

LCM(60927,60931) = 3712343037

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Least Common Multiple of 60927 and 60931 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 60931, than apply into the LCM equation.

GCF(60927,60931) = 1
LCM(60927,60931) = ( 60927 × 60931) / 1
LCM(60927,60931) = 3712343037 / 1
LCM(60927,60931) = 3712343037

Least Common Multiple (LCM) of 60927 and 60931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60927 and 60931. First we will calculate the prime factors of 60927 and 60931.

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 60931

Prime factors of 60931 are 13, 43, 109. Prime factorization of 60931 in exponential form is:

60931 = 131 × 431 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 60927 and 60931.

LCM(60927,60931) = 31 × 231 × 8831 × 131 × 431 × 1091
LCM(60927,60931) = 3712343037