What is the Least Common Multiple of 58425 and 58444?

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 58425 and 58444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58425 and 58444, than apply into the LCM equation.

GCF(58425,58444) = 19
LCM(58425,58444) = ( 58425 × 58444) / 19
LCM(58425,58444) = 3414590700 / 19
LCM(58425,58444) = 179715300

Least Common Multiple (LCM) of 58425 and 58444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58425 and 58444. First we will calculate the prime factors of 58425 and 58444.

Prime Factorization of 58425

Prime Factorization of 58444

Now multiplying the highest exponent prime factors to calculate the LCM of 58425 and 58444.

LCM(58425,58444) = 3¹ × 5² × 19¹ × 41¹ × 2² × 769¹
LCM(58425,58444) = 179715300