What is the Least Common Multiple of 32676 and 32690?

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 32676 and 32690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32676 and 32690, than apply into the LCM equation.

GCF(32676,32690) = 14
LCM(32676,32690) = ( 32676 × 32690) / 14
LCM(32676,32690) = 1068178440 / 14
LCM(32676,32690) = 76298460

Least Common Multiple (LCM) of 32676 and 32690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32676 and 32690. First we will calculate the prime factors of 32676 and 32690.

Prime Factorization of 32676

Prime Factorization of 32690

Now multiplying the highest exponent prime factors to calculate the LCM of 32676 and 32690.

LCM(32676,32690) = 2² × 3¹ × 7¹ × 389¹ × 5¹ × 467¹
LCM(32676,32690) = 76298460