What is the Least Common Multiple of 57645 and 57659?

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 57645 and 57659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57645 and 57659, than apply into the LCM equation.

GCF(57645,57659) = 7
LCM(57645,57659) = ( 57645 × 57659) / 7
LCM(57645,57659) = 3323753055 / 7
LCM(57645,57659) = 474821865

Least Common Multiple (LCM) of 57645 and 57659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57645 and 57659. First we will calculate the prime factors of 57645 and 57659.

Prime Factorization of 57645

Prime Factorization of 57659

Now multiplying the highest exponent prime factors to calculate the LCM of 57645 and 57659.

LCM(57645,57659) = 3³ × 5¹ × 7¹ × 61¹ × 8237¹
LCM(57645,57659) = 474821865