What is the Least Common Multiple of 58046 and 58057?

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 58046 and 58057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58046 and 58057, than apply into the LCM equation.

GCF(58046,58057) = 1
LCM(58046,58057) = ( 58046 × 58057) / 1
LCM(58046,58057) = 3369976622 / 1
LCM(58046,58057) = 3369976622

Least Common Multiple (LCM) of 58046 and 58057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58046 and 58057. First we will calculate the prime factors of 58046 and 58057.

Prime Factorization of 58046

Prime Factorization of 58057

Now multiplying the highest exponent prime factors to calculate the LCM of 58046 and 58057.

LCM(58046,58057) = 2¹ × 29023¹ × 58057¹
LCM(58046,58057) = 3369976622