What is the Least Common Multiple of 39696 and 39702?

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 39696 and 39702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39696 and 39702, than apply into the LCM equation.

GCF(39696,39702) = 6
LCM(39696,39702) = ( 39696 × 39702) / 6
LCM(39696,39702) = 1576010592 / 6
LCM(39696,39702) = 262668432

Least Common Multiple (LCM) of 39696 and 39702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39696 and 39702. First we will calculate the prime factors of 39696 and 39702.

Prime Factorization of 39696

Prime Factorization of 39702

Now multiplying the highest exponent prime factors to calculate the LCM of 39696 and 39702.

LCM(39696,39702) = 2⁴ × 3¹ × 827¹ × 13¹ × 509¹
LCM(39696,39702) = 262668432