What is the Least Common Multiple of 32654 and 32668?

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 32654 and 32668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32654 and 32668, than apply into the LCM equation.

GCF(32654,32668) = 2
LCM(32654,32668) = ( 32654 × 32668) / 2
LCM(32654,32668) = 1066740872 / 2
LCM(32654,32668) = 533370436

Least Common Multiple (LCM) of 32654 and 32668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32654 and 32668. First we will calculate the prime factors of 32654 and 32668.

Prime Factorization of 32654

Prime Factorization of 32668

Now multiplying the highest exponent prime factors to calculate the LCM of 32654 and 32668.

LCM(32654,32668) = 2² × 29¹ × 563¹ × 8167¹
LCM(32654,32668) = 533370436