What is the Least Common Multiple of 35672 and 35686?

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 35672 and 35686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35672 and 35686, than apply into the LCM equation.

GCF(35672,35686) = 14
LCM(35672,35686) = ( 35672 × 35686) / 14
LCM(35672,35686) = 1272990992 / 14
LCM(35672,35686) = 90927928

Least Common Multiple (LCM) of 35672 and 35686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35672 and 35686. First we will calculate the prime factors of 35672 and 35686.

Prime Factorization of 35672

Prime Factorization of 35686

Now multiplying the highest exponent prime factors to calculate the LCM of 35672 and 35686.

LCM(35672,35686) = 2³ × 7³ × 13¹ × 2549¹
LCM(35672,35686) = 90927928