What is the Least Common Multiple of 56116 and 56128?

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 56116 and 56128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56116 and 56128, than apply into the LCM equation.

GCF(56116,56128) = 4
LCM(56116,56128) = ( 56116 × 56128) / 4
LCM(56116,56128) = 3149678848 / 4
LCM(56116,56128) = 787419712

Least Common Multiple (LCM) of 56116 and 56128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56116 and 56128. First we will calculate the prime factors of 56116 and 56128.

Prime Factorization of 56116

Prime Factorization of 56128

Now multiplying the highest exponent prime factors to calculate the LCM of 56116 and 56128.

LCM(56116,56128) = 2⁶ × 14029¹ × 877¹
LCM(56116,56128) = 787419712