What is the Least Common Multiple of 32601 and 32619?

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 32601 and 32619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32601 and 32619, than apply into the LCM equation.

GCF(32601,32619) = 3
LCM(32601,32619) = ( 32601 × 32619) / 3
LCM(32601,32619) = 1063412019 / 3
LCM(32601,32619) = 354470673

Least Common Multiple (LCM) of 32601 and 32619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32601 and 32619. First we will calculate the prime factors of 32601 and 32619.

Prime Factorization of 32601

Prime Factorization of 32619

Now multiplying the highest exponent prime factors to calculate the LCM of 32601 and 32619.

LCM(32601,32619) = 3¹ × 10867¹ × 83¹ × 131¹
LCM(32601,32619) = 354470673