What is the Least Common Multiple of 63492 and 63512?

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 63492 and 63512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63492 and 63512, than apply into the LCM equation.

GCF(63492,63512) = 4
LCM(63492,63512) = ( 63492 × 63512) / 4
LCM(63492,63512) = 4032503904 / 4
LCM(63492,63512) = 1008125976

Least Common Multiple (LCM) of 63492 and 63512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63492 and 63512. First we will calculate the prime factors of 63492 and 63512.

Prime Factorization of 63492

Prime Factorization of 63512

Now multiplying the highest exponent prime factors to calculate the LCM of 63492 and 63512.

LCM(63492,63512) = 2³ × 3¹ × 11¹ × 13¹ × 37¹ × 17¹ × 467¹
LCM(63492,63512) = 1008125976