What is the Least Common Multiple of 56375 and 56382?

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 56375 and 56382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56375 and 56382, than apply into the LCM equation.

GCF(56375,56382) = 1
LCM(56375,56382) = ( 56375 × 56382) / 1
LCM(56375,56382) = 3178535250 / 1
LCM(56375,56382) = 3178535250

Least Common Multiple (LCM) of 56375 and 56382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56375 and 56382. First we will calculate the prime factors of 56375 and 56382.

Prime Factorization of 56375

Prime Factorization of 56382

Now multiplying the highest exponent prime factors to calculate the LCM of 56375 and 56382.

LCM(56375,56382) = 5³ × 11¹ × 41¹ × 2¹ × 3¹ × 9397¹
LCM(56375,56382) = 3178535250