What is the Least Common Multiple of 34629 and 34646?

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 34629 and 34646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34629 and 34646, than apply into the LCM equation.

GCF(34629,34646) = 17
LCM(34629,34646) = ( 34629 × 34646) / 17
LCM(34629,34646) = 1199756334 / 17
LCM(34629,34646) = 70573902

Least Common Multiple (LCM) of 34629 and 34646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34629 and 34646. First we will calculate the prime factors of 34629 and 34646.

Prime Factorization of 34629

Prime Factorization of 34646

Now multiplying the highest exponent prime factors to calculate the LCM of 34629 and 34646.

LCM(34629,34646) = 3¹ × 7¹ × 17¹ × 97¹ × 2¹ × 1019¹
LCM(34629,34646) = 70573902