What is the Least Common Multiple of 30972 and 30988?

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 30972 and 30988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30972 and 30988, than apply into the LCM equation.

GCF(30972,30988) = 4
LCM(30972,30988) = ( 30972 × 30988) / 4
LCM(30972,30988) = 959760336 / 4
LCM(30972,30988) = 239940084

Least Common Multiple (LCM) of 30972 and 30988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30972 and 30988. First we will calculate the prime factors of 30972 and 30988.

Prime Factorization of 30972

Prime Factorization of 30988

Now multiplying the highest exponent prime factors to calculate the LCM of 30972 and 30988.

LCM(30972,30988) = 2² × 3¹ × 29¹ × 89¹ × 61¹ × 127¹
LCM(30972,30988) = 239940084