What is the Least Common Multiple of 56140 and 56144?

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 56144 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 56144, than apply into the LCM equation.

GCF(56140,56144) = 4
LCM(56140,56144) = ( 56140 × 56144) / 4
LCM(56140,56144) = 3151924160 / 4
LCM(56140,56144) = 787981040

Least Common Multiple (LCM) of 56140 and 56144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56140 and 56144. First we will calculate the prime factors of 56140 and 56144.

Prime Factorization of 56140

Prime Factorization of 56144

Now multiplying the highest exponent prime factors to calculate the LCM of 56140 and 56144.

LCM(56140,56144) = 2⁴ × 5¹ × 7¹ × 401¹ × 11² × 29¹
LCM(56140,56144) = 787981040