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What is the Least Common Multiple of 62660 and 62671?

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 62660 and 62671 is 3926964860.

LCM(62660,62671) = 3926964860

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Least Common Multiple of 62660 and 62671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62660 and 62671, than apply into the LCM equation.

GCF(62660,62671) = 1
LCM(62660,62671) = ( 62660 × 62671) / 1
LCM(62660,62671) = 3926964860 / 1
LCM(62660,62671) = 3926964860

Least Common Multiple (LCM) of 62660 and 62671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62660 and 62671. First we will calculate the prime factors of 62660 and 62671.

Prime Factorization of 62660

Prime factors of 62660 are 2, 5, 13, 241. Prime factorization of 62660 in exponential form is:

62660 = 22 × 51 × 131 × 2411

Prime Factorization of 62671

Prime factors of 62671 are 7, 1279. Prime factorization of 62671 in exponential form is:

62671 = 72 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 62660 and 62671.

LCM(62660,62671) = 22 × 51 × 131 × 2411 × 72 × 12791
LCM(62660,62671) = 3926964860