What is the Least Common Multiple of 32920 and 32925?

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 32920 and 32925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32920 and 32925, than apply into the LCM equation.

GCF(32920,32925) = 5
LCM(32920,32925) = ( 32920 × 32925) / 5
LCM(32920,32925) = 1083891000 / 5
LCM(32920,32925) = 216778200

Least Common Multiple (LCM) of 32920 and 32925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32920 and 32925. First we will calculate the prime factors of 32920 and 32925.

Prime Factorization of 32920

Prime Factorization of 32925

Now multiplying the highest exponent prime factors to calculate the LCM of 32920 and 32925.

LCM(32920,32925) = 2³ × 5² × 823¹ × 3¹ × 439¹
LCM(32920,32925) = 216778200