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What is the Least Common Multiple of 62927 and 62940?

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 62927 and 62940 is 3960625380.

LCM(62927,62940) = 3960625380

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Least Common Multiple of 62927 and 62940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62927 and 62940, than apply into the LCM equation.

GCF(62927,62940) = 1
LCM(62927,62940) = ( 62927 × 62940) / 1
LCM(62927,62940) = 3960625380 / 1
LCM(62927,62940) = 3960625380

Least Common Multiple (LCM) of 62927 and 62940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62927 and 62940. First we will calculate the prime factors of 62927 and 62940.

Prime Factorization of 62927

Prime factors of 62927 are 62927. Prime factorization of 62927 in exponential form is:

62927 = 629271

Prime Factorization of 62940

Prime factors of 62940 are 2, 3, 5, 1049. Prime factorization of 62940 in exponential form is:

62940 = 22 × 31 × 51 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 62927 and 62940.

LCM(62927,62940) = 629271 × 22 × 31 × 51 × 10491
LCM(62927,62940) = 3960625380