What is the Least Common Multiple of 87972 and 87990?

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 87972 and 87990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87972 and 87990, than apply into the LCM equation.

GCF(87972,87990) = 6
LCM(87972,87990) = ( 87972 × 87990) / 6
LCM(87972,87990) = 7740656280 / 6
LCM(87972,87990) = 1290109380

Least Common Multiple (LCM) of 87972 and 87990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87972 and 87990. First we will calculate the prime factors of 87972 and 87990.

Prime Factorization of 87972

Prime Factorization of 87990

Now multiplying the highest exponent prime factors to calculate the LCM of 87972 and 87990.

LCM(87972,87990) = 2² × 3¹ × 7331¹ × 5¹ × 7¹ × 419¹
LCM(87972,87990) = 1290109380