What is the Least Common Multiple of 57889 and 57902?

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 57889 and 57902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57889 and 57902, than apply into the LCM equation.

GCF(57889,57902) = 13
LCM(57889,57902) = ( 57889 × 57902) / 13
LCM(57889,57902) = 3351888878 / 13
LCM(57889,57902) = 257837606

Least Common Multiple (LCM) of 57889 and 57902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57889 and 57902. First we will calculate the prime factors of 57889 and 57902.

Prime Factorization of 57889

Prime Factorization of 57902

Now multiplying the highest exponent prime factors to calculate the LCM of 57889 and 57902.

LCM(57889,57902) = 13¹ × 61¹ × 73¹ × 2¹ × 17¹ × 131¹
LCM(57889,57902) = 257837606