What is the Least Common Multiple of 32344 and 32362?

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 32344 and 32362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32344 and 32362, than apply into the LCM equation.

GCF(32344,32362) = 2
LCM(32344,32362) = ( 32344 × 32362) / 2
LCM(32344,32362) = 1046716528 / 2
LCM(32344,32362) = 523358264

Least Common Multiple (LCM) of 32344 and 32362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32344 and 32362. First we will calculate the prime factors of 32344 and 32362.

Prime Factorization of 32344

Prime Factorization of 32362

Now multiplying the highest exponent prime factors to calculate the LCM of 32344 and 32362.

LCM(32344,32362) = 2³ × 13¹ × 311¹ × 11¹ × 1471¹
LCM(32344,32362) = 523358264