What is the Least Common Multiple of 56114 and 56118?

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 56114 and 56118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56114 and 56118, than apply into the LCM equation.

GCF(56114,56118) = 2
LCM(56114,56118) = ( 56114 × 56118) / 2
LCM(56114,56118) = 3149005452 / 2
LCM(56114,56118) = 1574502726

Least Common Multiple (LCM) of 56114 and 56118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56114 and 56118. First we will calculate the prime factors of 56114 and 56118.

Prime Factorization of 56114

Prime Factorization of 56118

Now multiplying the highest exponent prime factors to calculate the LCM of 56114 and 56118.

LCM(56114,56118) = 2¹ × 28057¹ × 3¹ × 47¹ × 199¹
LCM(56114,56118) = 1574502726