What is the Least Common Multiple of 57405 and 57410?

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 57405 and 57410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57405 and 57410, than apply into the LCM equation.

GCF(57405,57410) = 5
LCM(57405,57410) = ( 57405 × 57410) / 5
LCM(57405,57410) = 3295621050 / 5
LCM(57405,57410) = 659124210

Least Common Multiple (LCM) of 57405 and 57410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57405 and 57410. First we will calculate the prime factors of 57405 and 57410.

Prime Factorization of 57405

Prime Factorization of 57410

Now multiplying the highest exponent prime factors to calculate the LCM of 57405 and 57410.

LCM(57405,57410) = 3¹ × 5¹ × 43¹ × 89¹ × 2¹ × 5741¹
LCM(57405,57410) = 659124210