What is the Least Common Multiple of 56294 and 56301?

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 56294 and 56301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56294 and 56301, than apply into the LCM equation.

GCF(56294,56301) = 7
LCM(56294,56301) = ( 56294 × 56301) / 7
LCM(56294,56301) = 3169408494 / 7
LCM(56294,56301) = 452772642

Least Common Multiple (LCM) of 56294 and 56301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56294 and 56301. First we will calculate the prime factors of 56294 and 56301.

Prime Factorization of 56294

Prime Factorization of 56301

Now multiplying the highest exponent prime factors to calculate the LCM of 56294 and 56301.

LCM(56294,56301) = 2¹ × 7² × 4021¹ × 3¹ × 383¹
LCM(56294,56301) = 452772642