What is the Least Common Multiple of 63492 and 63510?

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 63510 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 63510, than apply into the LCM equation.

GCF(63492,63510) = 6
LCM(63492,63510) = ( 63492 × 63510) / 6
LCM(63492,63510) = 4032376920 / 6
LCM(63492,63510) = 672062820

Least Common Multiple (LCM) of 63492 and 63510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63492 and 63510. First we will calculate the prime factors of 63492 and 63510.

Prime Factorization of 63492

Prime Factorization of 63510

Now multiplying the highest exponent prime factors to calculate the LCM of 63492 and 63510.

LCM(63492,63510) = 2² × 3¹ × 11¹ × 13¹ × 37¹ × 5¹ × 29¹ × 73¹
LCM(63492,63510) = 672062820