What is the Least Common Multiple of 34657 and 34671?

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 34657 and 34671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34657 and 34671, than apply into the LCM equation.

GCF(34657,34671) = 7
LCM(34657,34671) = ( 34657 × 34671) / 7
LCM(34657,34671) = 1201592847 / 7
LCM(34657,34671) = 171656121

Least Common Multiple (LCM) of 34657 and 34671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34657 and 34671. First we will calculate the prime factors of 34657 and 34671.

Prime Factorization of 34657

Prime Factorization of 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 34657 and 34671.

LCM(34657,34671) = 7¹ × 4951¹ × 3¹ × 13¹ × 127¹
LCM(34657,34671) = 171656121