What is the Least Common Multiple of 87980 and 87996?

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 87980 and 87996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87980 and 87996, than apply into the LCM equation.

GCF(87980,87996) = 4
LCM(87980,87996) = ( 87980 × 87996) / 4
LCM(87980,87996) = 7741888080 / 4
LCM(87980,87996) = 1935472020

Least Common Multiple (LCM) of 87980 and 87996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87980 and 87996. First we will calculate the prime factors of 87980 and 87996.

Prime Factorization of 87980

Prime Factorization of 87996

Now multiplying the highest exponent prime factors to calculate the LCM of 87980 and 87996.

LCM(87980,87996) = 2² × 5¹ × 53¹ × 83¹ × 3¹ × 7333¹
LCM(87980,87996) = 1935472020