What is the Least Common Multiple of 30974 and 30978?

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 30974 and 30978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30974 and 30978, than apply into the LCM equation.

GCF(30974,30978) = 2
LCM(30974,30978) = ( 30974 × 30978) / 2
LCM(30974,30978) = 959512572 / 2
LCM(30974,30978) = 479756286

Least Common Multiple (LCM) of 30974 and 30978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30974 and 30978. First we will calculate the prime factors of 30974 and 30978.

Prime Factorization of 30974

Prime Factorization of 30978

Now multiplying the highest exponent prime factors to calculate the LCM of 30974 and 30978.

LCM(30974,30978) = 2¹ × 17¹ × 911¹ × 3² × 1721¹
LCM(30974,30978) = 479756286