What is the Least Common Multiple of 32623 and 32642?

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 32623 and 32642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32623 and 32642, than apply into the LCM equation.

GCF(32623,32642) = 19
LCM(32623,32642) = ( 32623 × 32642) / 19
LCM(32623,32642) = 1064879966 / 19
LCM(32623,32642) = 56046314

Least Common Multiple (LCM) of 32623 and 32642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32623 and 32642. First we will calculate the prime factors of 32623 and 32642.

Prime Factorization of 32623

Prime Factorization of 32642

Now multiplying the highest exponent prime factors to calculate the LCM of 32623 and 32642.

LCM(32623,32642) = 17¹ × 19¹ × 101¹ × 2¹ × 859¹
LCM(32623,32642) = 56046314