What is the Least Common Multiple of 30156 and 30164?

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 30164 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 30164, than apply into the LCM equation.

GCF(30156,30164) = 4
LCM(30156,30164) = ( 30156 × 30164) / 4
LCM(30156,30164) = 909625584 / 4
LCM(30156,30164) = 227406396

Least Common Multiple (LCM) of 30156 and 30164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30156 and 30164. First we will calculate the prime factors of 30156 and 30164.

Prime Factorization of 30156

Prime Factorization of 30164

Now multiplying the highest exponent prime factors to calculate the LCM of 30156 and 30164.

LCM(30156,30164) = 2² × 3¹ × 7¹ × 359¹ × 7541¹
LCM(30156,30164) = 227406396