What is the Least Common Multiple of 33975 and 33980?

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 33975 and 33980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33975 and 33980, than apply into the LCM equation.

GCF(33975,33980) = 5
LCM(33975,33980) = ( 33975 × 33980) / 5
LCM(33975,33980) = 1154470500 / 5
LCM(33975,33980) = 230894100

Least Common Multiple (LCM) of 33975 and 33980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33975 and 33980. First we will calculate the prime factors of 33975 and 33980.

Prime Factorization of 33975

Prime Factorization of 33980

Now multiplying the highest exponent prime factors to calculate the LCM of 33975 and 33980.

LCM(33975,33980) = 3² × 5² × 151¹ × 2² × 1699¹
LCM(33975,33980) = 230894100