What is the Least Common Multiple of 58874 and 58888?

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 58874 and 58888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58874 and 58888, than apply into the LCM equation.

GCF(58874,58888) = 2
LCM(58874,58888) = ( 58874 × 58888) / 2
LCM(58874,58888) = 3466972112 / 2
LCM(58874,58888) = 1733486056

Least Common Multiple (LCM) of 58874 and 58888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58874 and 58888. First we will calculate the prime factors of 58874 and 58888.

Prime Factorization of 58874

Prime Factorization of 58888

Now multiplying the highest exponent prime factors to calculate the LCM of 58874 and 58888.

LCM(58874,58888) = 2³ × 29437¹ × 17¹ × 433¹
LCM(58874,58888) = 1733486056