What is the Least Common Multiple of 57465 and 57485?

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 57465 and 57485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57465 and 57485, than apply into the LCM equation.

GCF(57465,57485) = 5
LCM(57465,57485) = ( 57465 × 57485) / 5
LCM(57465,57485) = 3303375525 / 5
LCM(57465,57485) = 660675105

Least Common Multiple (LCM) of 57465 and 57485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57465 and 57485. First we will calculate the prime factors of 57465 and 57485.

Prime Factorization of 57465

Prime Factorization of 57485

Now multiplying the highest exponent prime factors to calculate the LCM of 57465 and 57485.

LCM(57465,57485) = 3² × 5¹ × 1277¹ × 11497¹
LCM(57465,57485) = 660675105