What is the Least Common Multiple of 39344 and 39354?

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 39354 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 39354, than apply into the LCM equation.

GCF(39344,39354) = 2
LCM(39344,39354) = ( 39344 × 39354) / 2
LCM(39344,39354) = 1548343776 / 2
LCM(39344,39354) = 774171888

Least Common Multiple (LCM) of 39344 and 39354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39344 and 39354. First we will calculate the prime factors of 39344 and 39354.

Prime Factorization of 39344

Prime Factorization of 39354

Now multiplying the highest exponent prime factors to calculate the LCM of 39344 and 39354.

LCM(39344,39354) = 2⁴ × 2459¹ × 3¹ × 7¹ × 937¹
LCM(39344,39354) = 774171888