What is the Least Common Multiple of 63960 and 63978?

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 63960 and 63978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63960 and 63978, than apply into the LCM equation.

GCF(63960,63978) = 6
LCM(63960,63978) = ( 63960 × 63978) / 6
LCM(63960,63978) = 4092032880 / 6
LCM(63960,63978) = 682005480

Least Common Multiple (LCM) of 63960 and 63978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63960 and 63978. First we will calculate the prime factors of 63960 and 63978.

Prime Factorization of 63960

Prime Factorization of 63978

Now multiplying the highest exponent prime factors to calculate the LCM of 63960 and 63978.

LCM(63960,63978) = 2³ × 3¹ × 5¹ × 13¹ × 41¹ × 10663¹
LCM(63960,63978) = 682005480