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What is the Least Common Multiple of 62942 and 62951?

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 62942 and 62951 is 3962261842.

LCM(62942,62951) = 3962261842

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Least Common Multiple of 62942 and 62951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62942 and 62951, than apply into the LCM equation.

GCF(62942,62951) = 1
LCM(62942,62951) = ( 62942 × 62951) / 1
LCM(62942,62951) = 3962261842 / 1
LCM(62942,62951) = 3962261842

Least Common Multiple (LCM) of 62942 and 62951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62942 and 62951. First we will calculate the prime factors of 62942 and 62951.

Prime Factorization of 62942

Prime factors of 62942 are 2, 11, 2861. Prime factorization of 62942 in exponential form is:

62942 = 21 × 111 × 28611

Prime Factorization of 62951

Prime factors of 62951 are 7, 17, 23. Prime factorization of 62951 in exponential form is:

62951 = 71 × 171 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 62942 and 62951.

LCM(62942,62951) = 21 × 111 × 28611 × 71 × 171 × 232
LCM(62942,62951) = 3962261842