What is the Least Common Multiple of 58998 and 59018?

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 58998 and 59018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58998 and 59018, than apply into the LCM equation.

GCF(58998,59018) = 2
LCM(58998,59018) = ( 58998 × 59018) / 2
LCM(58998,59018) = 3481943964 / 2
LCM(58998,59018) = 1740971982

Least Common Multiple (LCM) of 58998 and 59018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58998 and 59018. First we will calculate the prime factors of 58998 and 59018.

Prime Factorization of 58998

Prime Factorization of 59018

Now multiplying the highest exponent prime factors to calculate the LCM of 58998 and 59018.

LCM(58998,59018) = 2¹ × 3¹ × 9833¹ × 23¹ × 1283¹
LCM(58998,59018) = 1740971982