What is the Least Common Multiple of 57610 and 57628?

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 57610 and 57628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57610 and 57628, than apply into the LCM equation.

GCF(57610,57628) = 2
LCM(57610,57628) = ( 57610 × 57628) / 2
LCM(57610,57628) = 3319949080 / 2
LCM(57610,57628) = 1659974540

Least Common Multiple (LCM) of 57610 and 57628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57610 and 57628. First we will calculate the prime factors of 57610 and 57628.

Prime Factorization of 57610

Prime Factorization of 57628

Now multiplying the highest exponent prime factors to calculate the LCM of 57610 and 57628.

LCM(57610,57628) = 2² × 5¹ × 7¹ × 823¹ × 14407¹
LCM(57610,57628) = 1659974540