What is the Least Common Multiple of 56016 and 56034?

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 56016 and 56034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56016 and 56034, than apply into the LCM equation.

GCF(56016,56034) = 18
LCM(56016,56034) = ( 56016 × 56034) / 18
LCM(56016,56034) = 3138800544 / 18
LCM(56016,56034) = 174377808

Least Common Multiple (LCM) of 56016 and 56034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56016 and 56034. First we will calculate the prime factors of 56016 and 56034.

Prime Factorization of 56016

Prime Factorization of 56034

Now multiplying the highest exponent prime factors to calculate the LCM of 56016 and 56034.

LCM(56016,56034) = 2⁴ × 3² × 389¹ × 11¹ × 283¹
LCM(56016,56034) = 174377808