What is the Least Common Multiple of 49632 and 49638?

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 49632 and 49638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49632 and 49638, than apply into the LCM equation.

GCF(49632,49638) = 6
LCM(49632,49638) = ( 49632 × 49638) / 6
LCM(49632,49638) = 2463633216 / 6
LCM(49632,49638) = 410605536

Least Common Multiple (LCM) of 49632 and 49638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49632 and 49638. First we will calculate the prime factors of 49632 and 49638.

Prime Factorization of 49632

Prime Factorization of 49638

Now multiplying the highest exponent prime factors to calculate the LCM of 49632 and 49638.

LCM(49632,49638) = 2⁵ × 3¹ × 11¹ × 47¹ × 8273¹
LCM(49632,49638) = 410605536