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What is the Least Common Multiple of 62715 and 62722?

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 62715 and 62722 is 3933610230.

LCM(62715,62722) = 3933610230

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Least Common Multiple of 62715 and 62722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62715 and 62722, than apply into the LCM equation.

GCF(62715,62722) = 1
LCM(62715,62722) = ( 62715 × 62722) / 1
LCM(62715,62722) = 3933610230 / 1
LCM(62715,62722) = 3933610230

Least Common Multiple (LCM) of 62715 and 62722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62715 and 62722. First we will calculate the prime factors of 62715 and 62722.

Prime Factorization of 62715

Prime factors of 62715 are 3, 5, 37, 113. Prime factorization of 62715 in exponential form is:

62715 = 31 × 51 × 371 × 1131

Prime Factorization of 62722

Prime factors of 62722 are 2, 11, 2851. Prime factorization of 62722 in exponential form is:

62722 = 21 × 111 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 62715 and 62722.

LCM(62715,62722) = 31 × 51 × 371 × 1131 × 21 × 111 × 28511
LCM(62715,62722) = 3933610230