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What is the Least Common Multiple of 62371 and 62390?

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 62371 and 62390 is 3891326690.

LCM(62371,62390) = 3891326690

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Least Common Multiple of 62371 and 62390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62371 and 62390, than apply into the LCM equation.

GCF(62371,62390) = 1
LCM(62371,62390) = ( 62371 × 62390) / 1
LCM(62371,62390) = 3891326690 / 1
LCM(62371,62390) = 3891326690

Least Common Multiple (LCM) of 62371 and 62390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62371 and 62390. First we will calculate the prime factors of 62371 and 62390.

Prime Factorization of 62371

Prime factors of 62371 are 97, 643. Prime factorization of 62371 in exponential form is:

62371 = 971 × 6431

Prime Factorization of 62390

Prime factors of 62390 are 2, 5, 17, 367. Prime factorization of 62390 in exponential form is:

62390 = 21 × 51 × 171 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 62371 and 62390.

LCM(62371,62390) = 971 × 6431 × 21 × 51 × 171 × 3671
LCM(62371,62390) = 3891326690