What is the Least Common Multiple of 56298 and 56309?

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 56298 and 56309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56298 and 56309, than apply into the LCM equation.

GCF(56298,56309) = 11
LCM(56298,56309) = ( 56298 × 56309) / 11
LCM(56298,56309) = 3170084082 / 11
LCM(56298,56309) = 288189462

Least Common Multiple (LCM) of 56298 and 56309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56298 and 56309. First we will calculate the prime factors of 56298 and 56309.

Prime Factorization of 56298

Prime Factorization of 56309

Now multiplying the highest exponent prime factors to calculate the LCM of 56298 and 56309.

LCM(56298,56309) = 2¹ × 3¹ × 11¹ × 853¹ × 5119¹
LCM(56298,56309) = 288189462