What is the Least Common Multiple of 55065 and 55075?

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 55065 and 55075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55065 and 55075, than apply into the LCM equation.

GCF(55065,55075) = 5
LCM(55065,55075) = ( 55065 × 55075) / 5
LCM(55065,55075) = 3032704875 / 5
LCM(55065,55075) = 606540975

Least Common Multiple (LCM) of 55065 and 55075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55065 and 55075. First we will calculate the prime factors of 55065 and 55075.

Prime Factorization of 55065

Prime Factorization of 55075

Now multiplying the highest exponent prime factors to calculate the LCM of 55065 and 55075.

LCM(55065,55075) = 3¹ × 5² × 3671¹ × 2203¹
LCM(55065,55075) = 606540975