What is the Least Common Multiple of 56170 and 56182?

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 56170 and 56182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56170 and 56182, than apply into the LCM equation.

GCF(56170,56182) = 2
LCM(56170,56182) = ( 56170 × 56182) / 2
LCM(56170,56182) = 3155742940 / 2
LCM(56170,56182) = 1577871470

Least Common Multiple (LCM) of 56170 and 56182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56170 and 56182. First we will calculate the prime factors of 56170 and 56182.

Prime Factorization of 56170

Prime Factorization of 56182

Now multiplying the highest exponent prime factors to calculate the LCM of 56170 and 56182.

LCM(56170,56182) = 2¹ × 5¹ × 41¹ × 137¹ × 7¹ × 4013¹
LCM(56170,56182) = 1577871470