What is the Least Common Multiple of 32634 and 32654?

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 32634 and 32654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32634 and 32654, than apply into the LCM equation.

GCF(32634,32654) = 2
LCM(32634,32654) = ( 32634 × 32654) / 2
LCM(32634,32654) = 1065630636 / 2
LCM(32634,32654) = 532815318

Least Common Multiple (LCM) of 32634 and 32654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32634 and 32654. First we will calculate the prime factors of 32634 and 32654.

Prime Factorization of 32634

Prime Factorization of 32654

Now multiplying the highest exponent prime factors to calculate the LCM of 32634 and 32654.

LCM(32634,32654) = 2¹ × 3² × 7² × 37¹ × 29¹ × 563¹
LCM(32634,32654) = 532815318