What is the Least Common Multiple of 30172 and 30180?

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 30172 and 30180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30172 and 30180, than apply into the LCM equation.

GCF(30172,30180) = 4
LCM(30172,30180) = ( 30172 × 30180) / 4
LCM(30172,30180) = 910590960 / 4
LCM(30172,30180) = 227647740

Least Common Multiple (LCM) of 30172 and 30180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30172 and 30180. First we will calculate the prime factors of 30172 and 30180.

Prime Factorization of 30172

Prime Factorization of 30180

Now multiplying the highest exponent prime factors to calculate the LCM of 30172 and 30180.

LCM(30172,30180) = 2² × 19¹ × 397¹ × 3¹ × 5¹ × 503¹
LCM(30172,30180) = 227647740