What is the Least Common Multiple of 30156 and 30166?

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 30156 and 30166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30156 and 30166, than apply into the LCM equation.

GCF(30156,30166) = 2
LCM(30156,30166) = ( 30156 × 30166) / 2
LCM(30156,30166) = 909685896 / 2
LCM(30156,30166) = 454842948

Least Common Multiple (LCM) of 30156 and 30166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30156 and 30166. First we will calculate the prime factors of 30156 and 30166.

Prime Factorization of 30156

Prime Factorization of 30166

Now multiplying the highest exponent prime factors to calculate the LCM of 30156 and 30166.

LCM(30156,30166) = 2² × 3¹ × 7¹ × 359¹ × 15083¹
LCM(30156,30166) = 454842948