What is the Least Common Multiple of 39314 and 39324?

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 39314 and 39324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39314 and 39324, than apply into the LCM equation.

GCF(39314,39324) = 2
LCM(39314,39324) = ( 39314 × 39324) / 2
LCM(39314,39324) = 1545983736 / 2
LCM(39314,39324) = 772991868

Least Common Multiple (LCM) of 39314 and 39324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39314 and 39324. First we will calculate the prime factors of 39314 and 39324.

Prime Factorization of 39314

Prime Factorization of 39324

Now multiplying the highest exponent prime factors to calculate the LCM of 39314 and 39324.

LCM(39314,39324) = 2² × 11¹ × 1787¹ × 3¹ × 29¹ × 113¹
LCM(39314,39324) = 772991868