What is the Least Common Multiple of 56144 and 56159?

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 56144 and 56159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56144 and 56159, than apply into the LCM equation.

GCF(56144,56159) = 1
LCM(56144,56159) = ( 56144 × 56159) / 1
LCM(56144,56159) = 3152990896 / 1
LCM(56144,56159) = 3152990896

Least Common Multiple (LCM) of 56144 and 56159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56144 and 56159. First we will calculate the prime factors of 56144 and 56159.

Prime Factorization of 56144

Prime Factorization of 56159

Now multiplying the highest exponent prime factors to calculate the LCM of 56144 and 56159.

LCM(56144,56159) = 2⁴ × 11² × 29¹ × 89¹ × 631¹
LCM(56144,56159) = 3152990896