What is the Least Common Multiple of 63510 and 63520?

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 63510 and 63520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63510 and 63520, than apply into the LCM equation.

GCF(63510,63520) = 10
LCM(63510,63520) = ( 63510 × 63520) / 10
LCM(63510,63520) = 4034155200 / 10
LCM(63510,63520) = 403415520

Least Common Multiple (LCM) of 63510 and 63520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63510 and 63520. First we will calculate the prime factors of 63510 and 63520.

Prime Factorization of 63510

Prime Factorization of 63520

Now multiplying the highest exponent prime factors to calculate the LCM of 63510 and 63520.

LCM(63510,63520) = 2⁵ × 3¹ × 5¹ × 29¹ × 73¹ × 397¹
LCM(63510,63520) = 403415520