What is the Least Common Multiple of 39344 and 39364?

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 39344 and 39364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39344 and 39364, than apply into the LCM equation.

GCF(39344,39364) = 4
LCM(39344,39364) = ( 39344 × 39364) / 4
LCM(39344,39364) = 1548737216 / 4
LCM(39344,39364) = 387184304

Least Common Multiple (LCM) of 39344 and 39364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39344 and 39364. First we will calculate the prime factors of 39344 and 39364.

Prime Factorization of 39344

Prime Factorization of 39364

Now multiplying the highest exponent prime factors to calculate the LCM of 39344 and 39364.

LCM(39344,39364) = 2⁴ × 2459¹ × 13¹ × 757¹
LCM(39344,39364) = 387184304