What is the Least Common Multiple of 57862 and 57877?

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 57862 and 57877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57862 and 57877, than apply into the LCM equation.

GCF(57862,57877) = 1
LCM(57862,57877) = ( 57862 × 57877) / 1
LCM(57862,57877) = 3348878974 / 1
LCM(57862,57877) = 3348878974

Least Common Multiple (LCM) of 57862 and 57877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57862 and 57877. First we will calculate the prime factors of 57862 and 57877.

Prime Factorization of 57862

Prime Factorization of 57877

Now multiplying the highest exponent prime factors to calculate the LCM of 57862 and 57877.

LCM(57862,57877) = 2¹ × 7¹ × 4133¹ × 31¹ × 1867¹
LCM(57862,57877) = 3348878974