What is the Least Common Multiple of 34674 and 34678?

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 34674 and 34678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34674 and 34678, than apply into the LCM equation.

GCF(34674,34678) = 2
LCM(34674,34678) = ( 34674 × 34678) / 2
LCM(34674,34678) = 1202424972 / 2
LCM(34674,34678) = 601212486

Least Common Multiple (LCM) of 34674 and 34678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34674 and 34678. First we will calculate the prime factors of 34674 and 34678.

Prime Factorization of 34674

Prime Factorization of 34678

Now multiplying the highest exponent prime factors to calculate the LCM of 34674 and 34678.

LCM(34674,34678) = 2¹ × 3¹ × 5779¹ × 7¹ × 2477¹
LCM(34674,34678) = 601212486