What is the Least Common Multiple of 56128 and 56134?

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 56128 and 56134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56128 and 56134, than apply into the LCM equation.

GCF(56128,56134) = 2
LCM(56128,56134) = ( 56128 × 56134) / 2
LCM(56128,56134) = 3150689152 / 2
LCM(56128,56134) = 1575344576

Least Common Multiple (LCM) of 56128 and 56134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56128 and 56134. First we will calculate the prime factors of 56128 and 56134.

Prime Factorization of 56128

Prime Factorization of 56134

Now multiplying the highest exponent prime factors to calculate the LCM of 56128 and 56134.

LCM(56128,56134) = 2⁶ × 877¹ × 13¹ × 17¹ × 127¹
LCM(56128,56134) = 1575344576