What is the Least Common Multiple of 39658 and 39676?

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 39658 and 39676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39658 and 39676, than apply into the LCM equation.

GCF(39658,39676) = 2
LCM(39658,39676) = ( 39658 × 39676) / 2
LCM(39658,39676) = 1573470808 / 2
LCM(39658,39676) = 786735404

Least Common Multiple (LCM) of 39658 and 39676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39658 and 39676. First we will calculate the prime factors of 39658 and 39676.

Prime Factorization of 39658

Prime Factorization of 39676

Now multiplying the highest exponent prime factors to calculate the LCM of 39658 and 39676.

LCM(39658,39676) = 2² × 79¹ × 251¹ × 7¹ × 13¹ × 109¹
LCM(39658,39676) = 786735404