What is the Least Common Multiple of 63981 and 63990?

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 63981 and 63990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63981 and 63990, than apply into the LCM equation.

GCF(63981,63990) = 9
LCM(63981,63990) = ( 63981 × 63990) / 9
LCM(63981,63990) = 4094144190 / 9
LCM(63981,63990) = 454904910

Least Common Multiple (LCM) of 63981 and 63990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63981 and 63990. First we will calculate the prime factors of 63981 and 63990.

Prime Factorization of 63981

Prime Factorization of 63990

Now multiplying the highest exponent prime factors to calculate the LCM of 63981 and 63990.

LCM(63981,63990) = 3⁴ × 7109¹ × 2¹ × 5¹ × 79¹
LCM(63981,63990) = 454904910