What is the Least Common Multiple of 63132 and 63149?

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 63132 and 63149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63132 and 63149, than apply into the LCM equation.

GCF(63132,63149) = 1
LCM(63132,63149) = ( 63132 × 63149) / 1
LCM(63132,63149) = 3986722668 / 1
LCM(63132,63149) = 3986722668

Least Common Multiple (LCM) of 63132 and 63149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63132 and 63149. First we will calculate the prime factors of 63132 and 63149.

Prime Factorization of 63132

Prime Factorization of 63149

Now multiplying the highest exponent prime factors to calculate the LCM of 63132 and 63149.

LCM(63132,63149) = 2² × 3¹ × 5261¹ × 63149¹
LCM(63132,63149) = 3986722668