What is the Least Common Multiple of 34188 and 34196?

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 34188 and 34196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34188 and 34196, than apply into the LCM equation.

GCF(34188,34196) = 4
LCM(34188,34196) = ( 34188 × 34196) / 4
LCM(34188,34196) = 1169092848 / 4
LCM(34188,34196) = 292273212

Least Common Multiple (LCM) of 34188 and 34196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34188 and 34196. First we will calculate the prime factors of 34188 and 34196.

Prime Factorization of 34188

Prime Factorization of 34196

Now multiplying the highest exponent prime factors to calculate the LCM of 34188 and 34196.

LCM(34188,34196) = 2² × 3¹ × 7¹ × 11¹ × 37¹ × 83¹ × 103¹
LCM(34188,34196) = 292273212