What is the Least Common Multiple of 39644 and 39658?

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 39644 and 39658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39644 and 39658, than apply into the LCM equation.

GCF(39644,39658) = 2
LCM(39644,39658) = ( 39644 × 39658) / 2
LCM(39644,39658) = 1572201752 / 2
LCM(39644,39658) = 786100876

Least Common Multiple (LCM) of 39644 and 39658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39644 and 39658. First we will calculate the prime factors of 39644 and 39658.

Prime Factorization of 39644

Prime Factorization of 39658

Now multiplying the highest exponent prime factors to calculate the LCM of 39644 and 39658.

LCM(39644,39658) = 2² × 11¹ × 17¹ × 53¹ × 79¹ × 251¹
LCM(39644,39658) = 786100876