What is the Least Common Multiple of 34674 and 34692?

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 34692 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 34692, than apply into the LCM equation.

GCF(34674,34692) = 6
LCM(34674,34692) = ( 34674 × 34692) / 6
LCM(34674,34692) = 1202910408 / 6
LCM(34674,34692) = 200485068

Least Common Multiple (LCM) of 34674 and 34692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34674 and 34692. First we will calculate the prime factors of 34674 and 34692.

Prime Factorization of 34674

Prime Factorization of 34692

Now multiplying the highest exponent prime factors to calculate the LCM of 34674 and 34692.

LCM(34674,34692) = 2² × 3¹ × 5779¹ × 7² × 59¹
LCM(34674,34692) = 200485068