What is the Least Common Multiple of 58038 and 58046?

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 58038 and 58046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58038 and 58046, than apply into the LCM equation.

GCF(58038,58046) = 2
LCM(58038,58046) = ( 58038 × 58046) / 2
LCM(58038,58046) = 3368873748 / 2
LCM(58038,58046) = 1684436874

Least Common Multiple (LCM) of 58038 and 58046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58038 and 58046. First we will calculate the prime factors of 58038 and 58046.

Prime Factorization of 58038

Prime Factorization of 58046

Now multiplying the highest exponent prime factors to calculate the LCM of 58038 and 58046.

LCM(58038,58046) = 2¹ × 3¹ × 17¹ × 569¹ × 29023¹
LCM(58038,58046) = 1684436874