What is the Least Common Multiple of 63452 and 63460?

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 63452 and 63460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63452 and 63460, than apply into the LCM equation.

GCF(63452,63460) = 4
LCM(63452,63460) = ( 63452 × 63460) / 4
LCM(63452,63460) = 4026663920 / 4
LCM(63452,63460) = 1006665980

Least Common Multiple (LCM) of 63452 and 63460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63452 and 63460. First we will calculate the prime factors of 63452 and 63460.

Prime Factorization of 63452

Prime Factorization of 63460

Now multiplying the highest exponent prime factors to calculate the LCM of 63452 and 63460.

LCM(63452,63460) = 2² × 29¹ × 547¹ × 5¹ × 19¹ × 167¹
LCM(63452,63460) = 1006665980