What is the Least Common Multiple of 39308 and 39314?

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 39308 and 39314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39308 and 39314, than apply into the LCM equation.

GCF(39308,39314) = 2
LCM(39308,39314) = ( 39308 × 39314) / 2
LCM(39308,39314) = 1545354712 / 2
LCM(39308,39314) = 772677356

Least Common Multiple (LCM) of 39308 and 39314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39308 and 39314. First we will calculate the prime factors of 39308 and 39314.

Prime Factorization of 39308

Prime Factorization of 39314

Now multiplying the highest exponent prime factors to calculate the LCM of 39308 and 39314.

LCM(39308,39314) = 2² × 31¹ × 317¹ × 11¹ × 1787¹
LCM(39308,39314) = 772677356