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What is the Least Common Multiple of 62751 and 62755?

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 62751 and 62755 is 3937939005.

LCM(62751,62755) = 3937939005

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Least Common Multiple of 62751 and 62755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62751 and 62755, than apply into the LCM equation.

GCF(62751,62755) = 1
LCM(62751,62755) = ( 62751 × 62755) / 1
LCM(62751,62755) = 3937939005 / 1
LCM(62751,62755) = 3937939005

Least Common Multiple (LCM) of 62751 and 62755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62751 and 62755. First we will calculate the prime factors of 62751 and 62755.

Prime Factorization of 62751

Prime factors of 62751 are 3, 13, 1609. Prime factorization of 62751 in exponential form is:

62751 = 31 × 131 × 16091

Prime Factorization of 62755

Prime factors of 62755 are 5, 7, 11, 163. Prime factorization of 62755 in exponential form is:

62755 = 51 × 71 × 111 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 62751 and 62755.

LCM(62751,62755) = 31 × 131 × 16091 × 51 × 71 × 111 × 1631
LCM(62751,62755) = 3937939005