What is the Least Common Multiple of 75225 and 75244?

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 75225 and 75244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75225 and 75244, than apply into the LCM equation.

GCF(75225,75244) = 1
LCM(75225,75244) = ( 75225 × 75244) / 1
LCM(75225,75244) = 5660229900 / 1
LCM(75225,75244) = 5660229900

Least Common Multiple (LCM) of 75225 and 75244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75225 and 75244. First we will calculate the prime factors of 75225 and 75244.

Prime Factorization of 75225

Prime Factorization of 75244

Now multiplying the highest exponent prime factors to calculate the LCM of 75225 and 75244.

LCM(75225,75244) = 3¹ × 5² × 17¹ × 59¹ × 2² × 13¹ × 1447¹
LCM(75225,75244) = 5660229900