What is the Least Common Multiple of 63972 and 63980?

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 63972 and 63980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63972 and 63980, than apply into the LCM equation.

GCF(63972,63980) = 4
LCM(63972,63980) = ( 63972 × 63980) / 4
LCM(63972,63980) = 4092928560 / 4
LCM(63972,63980) = 1023232140

Least Common Multiple (LCM) of 63972 and 63980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63972 and 63980. First we will calculate the prime factors of 63972 and 63980.

Prime Factorization of 63972

Prime Factorization of 63980

Now multiplying the highest exponent prime factors to calculate the LCM of 63972 and 63980.

LCM(63972,63980) = 2² × 3² × 1777¹ × 5¹ × 7¹ × 457¹
LCM(63972,63980) = 1023232140