What is the Least Common Multiple of 34974 and 34983?

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 34974 and 34983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34974 and 34983, than apply into the LCM equation.

GCF(34974,34983) = 9
LCM(34974,34983) = ( 34974 × 34983) / 9
LCM(34974,34983) = 1223495442 / 9
LCM(34974,34983) = 135943938

Least Common Multiple (LCM) of 34974 and 34983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34974 and 34983. First we will calculate the prime factors of 34974 and 34983.

Prime Factorization of 34974

Prime Factorization of 34983

Now multiplying the highest exponent prime factors to calculate the LCM of 34974 and 34983.

LCM(34974,34983) = 2¹ × 3² × 29¹ × 67¹ × 13² × 23¹
LCM(34974,34983) = 135943938