What is the Least Common Multiple of 63246 and 63251?

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 of 63246 and 63251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63246 and 63251, than apply into the LCM equation.

GCF(63246,63251) = 1
LCM(63246,63251) = ( 63246 × 63251) / 1
LCM(63246,63251) = 4000372746 / 1
LCM(63246,63251) = 4000372746

Least Common Multiple (LCM) of 63246 and 63251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63246 and 63251. First we will calculate the prime factors of 63246 and 63251.

Prime Factorization of 63246

Prime Factorization of 63251

Now multiplying the highest exponent prime factors to calculate the LCM of 63246 and 63251.

LCM(63246,63251) = 2¹ × 3¹ × 83¹ × 127¹ × 19¹ × 3329¹
LCM(63246,63251) = 4000372746