What is the Least Common Multiple of 56140 and 56148?

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 56140 and 56148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56140 and 56148, than apply into the LCM equation.

GCF(56140,56148) = 4
LCM(56140,56148) = ( 56140 × 56148) / 4
LCM(56140,56148) = 3152148720 / 4
LCM(56140,56148) = 788037180

Least Common Multiple (LCM) of 56140 and 56148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56140 and 56148. First we will calculate the prime factors of 56140 and 56148.

Prime Factorization of 56140

Prime Factorization of 56148

Now multiplying the highest exponent prime factors to calculate the LCM of 56140 and 56148.

LCM(56140,56148) = 2² × 5¹ × 7¹ × 401¹ × 3¹ × 4679¹
LCM(56140,56148) = 788037180