What is the Least Common Multiple of 34476 and 34494?

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 34476 and 34494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34476 and 34494, than apply into the LCM equation.

GCF(34476,34494) = 6
LCM(34476,34494) = ( 34476 × 34494) / 6
LCM(34476,34494) = 1189215144 / 6
LCM(34476,34494) = 198202524

Least Common Multiple (LCM) of 34476 and 34494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34476 and 34494. First we will calculate the prime factors of 34476 and 34494.

Prime Factorization of 34476

Prime Factorization of 34494

Now multiplying the highest exponent prime factors to calculate the LCM of 34476 and 34494.

LCM(34476,34494) = 2² × 3¹ × 13² × 17¹ × 5749¹
LCM(34476,34494) = 198202524