What is the Least Common Multiple of 56116 and 56126?

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 56126 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 56126, than apply into the LCM equation.

GCF(56116,56126) = 2
LCM(56116,56126) = ( 56116 × 56126) / 2
LCM(56116,56126) = 3149566616 / 2
LCM(56116,56126) = 1574783308

Least Common Multiple (LCM) of 56116 and 56126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56116 and 56126. First we will calculate the prime factors of 56116 and 56126.

Prime Factorization of 56116

Prime Factorization of 56126

Now multiplying the highest exponent prime factors to calculate the LCM of 56116 and 56126.

LCM(56116,56126) = 2² × 14029¹ × 7¹ × 19¹ × 211¹
LCM(56116,56126) = 1574783308