What is the Least Common Multiple of 60971 and 60987?

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 60971 and 60987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60971 and 60987, than apply into the LCM equation.

GCF(60971,60987) = 1
LCM(60971,60987) = ( 60971 × 60987) / 1
LCM(60971,60987) = 3718438377 / 1
LCM(60971,60987) = 3718438377

Least Common Multiple (LCM) of 60971 and 60987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60971 and 60987. First we will calculate the prime factors of 60971 and 60987.

Prime Factorization of 60971

Prime Factorization of 60987

Now multiplying the highest exponent prime factors to calculate the LCM of 60971 and 60987.

LCM(60971,60987) = 19¹ × 3209¹ × 3¹ × 29¹ × 701¹
LCM(60971,60987) = 3718438377