What is the Least Common Multiple of 56038 and 56058?

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 56038 and 56058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56038 and 56058, than apply into the LCM equation.

GCF(56038,56058) = 2
LCM(56038,56058) = ( 56038 × 56058) / 2
LCM(56038,56058) = 3141378204 / 2
LCM(56038,56058) = 1570689102

Least Common Multiple (LCM) of 56038 and 56058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56038 and 56058. First we will calculate the prime factors of 56038 and 56058.

Prime Factorization of 56038

Prime Factorization of 56058

Now multiplying the highest exponent prime factors to calculate the LCM of 56038 and 56058.

LCM(56038,56058) = 2¹ × 28019¹ × 3¹ × 9343¹
LCM(56038,56058) = 1570689102