What is the Least Common Multiple of 56290 and 56310?

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 56290 and 56310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56290 and 56310, than apply into the LCM equation.

GCF(56290,56310) = 10
LCM(56290,56310) = ( 56290 × 56310) / 10
LCM(56290,56310) = 3169689900 / 10
LCM(56290,56310) = 316968990

Least Common Multiple (LCM) of 56290 and 56310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56290 and 56310. First we will calculate the prime factors of 56290 and 56310.

Prime Factorization of 56290

Prime Factorization of 56310

Now multiplying the highest exponent prime factors to calculate the LCM of 56290 and 56310.

LCM(56290,56310) = 2¹ × 5¹ × 13¹ × 433¹ × 3¹ × 1877¹
LCM(56290,56310) = 316968990