What is the Least Common Multiple of 32654 and 32671?

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 32671 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 32671, than apply into the LCM equation.

GCF(32654,32671) = 1
LCM(32654,32671) = ( 32654 × 32671) / 1
LCM(32654,32671) = 1066838834 / 1
LCM(32654,32671) = 1066838834

Least Common Multiple (LCM) of 32654 and 32671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32654 and 32671. First we will calculate the prime factors of 32654 and 32671.

Prime Factorization of 32654

Prime Factorization of 32671

Now multiplying the highest exponent prime factors to calculate the LCM of 32654 and 32671.

LCM(32654,32671) = 2¹ × 29¹ × 563¹ × 37¹ × 883¹
LCM(32654,32671) = 1066838834