What is the Least Common Multiple of 58872 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 58872 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 58872 and 58888, than apply into the LCM equation.

GCF(58872,58888) = 8
LCM(58872,58888) = ( 58872 × 58888) / 8
LCM(58872,58888) = 3466854336 / 8
LCM(58872,58888) = 433356792

Least Common Multiple (LCM) of 58872 and 58888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58872 and 58888. First we will calculate the prime factors of 58872 and 58888.

Prime Factorization of 58872

Prime Factorization of 58888

Now multiplying the highest exponent prime factors to calculate the LCM of 58872 and 58888.

LCM(58872,58888) = 2³ × 3¹ × 11¹ × 223¹ × 17¹ × 433¹
LCM(58872,58888) = 433356792