What is the Least Common Multiple of 39680 and 39694?

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 39680 and 39694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39680 and 39694, than apply into the LCM equation.

GCF(39680,39694) = 2
LCM(39680,39694) = ( 39680 × 39694) / 2
LCM(39680,39694) = 1575057920 / 2
LCM(39680,39694) = 787528960

Least Common Multiple (LCM) of 39680 and 39694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39680 and 39694. First we will calculate the prime factors of 39680 and 39694.

Prime Factorization of 39680

Prime Factorization of 39694

Now multiplying the highest exponent prime factors to calculate the LCM of 39680 and 39694.

LCM(39680,39694) = 2⁸ × 5¹ × 31¹ × 89¹ × 223¹
LCM(39680,39694) = 787528960