What is the Least Common Multiple of 5070 and 5086?

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 5070 and 5086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5070 and 5086, than apply into the LCM equation.

GCF(5070,5086) = 2
LCM(5070,5086) = ( 5070 × 5086) / 2
LCM(5070,5086) = 25786020 / 2
LCM(5070,5086) = 12893010

Least Common Multiple (LCM) of 5070 and 5086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5070 and 5086. First we will calculate the prime factors of 5070 and 5086.

Prime Factorization of 5070

Prime Factorization of 5086

Now multiplying the highest exponent prime factors to calculate the LCM of 5070 and 5086.

LCM(5070,5086) = 2¹ × 3¹ × 5¹ × 13² × 2543¹
LCM(5070,5086) = 12893010