What is the Least Common Multiple of 30657 and 30663?

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 30657 and 30663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30657 and 30663, than apply into the LCM equation.

GCF(30657,30663) = 3
LCM(30657,30663) = ( 30657 × 30663) / 3
LCM(30657,30663) = 940035591 / 3
LCM(30657,30663) = 313345197

Least Common Multiple (LCM) of 30657 and 30663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30657 and 30663. First we will calculate the prime factors of 30657 and 30663.

Prime Factorization of 30657

Prime Factorization of 30663

Now multiplying the highest exponent prime factors to calculate the LCM of 30657 and 30663.

LCM(30657,30663) = 3² × 11¹ × 929¹ × 3407¹
LCM(30657,30663) = 313345197