What is the Least Common Multiple of 5070 and 5084?

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 5084 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 5084, than apply into the LCM equation.

GCF(5070,5084) = 2
LCM(5070,5084) = ( 5070 × 5084) / 2
LCM(5070,5084) = 25775880 / 2
LCM(5070,5084) = 12887940

Least Common Multiple (LCM) of 5070 and 5084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5070 and 5084. First we will calculate the prime factors of 5070 and 5084.

Prime Factorization of 5070

Prime Factorization of 5084

Now multiplying the highest exponent prime factors to calculate the LCM of 5070 and 5084.

LCM(5070,5084) = 2² × 3¹ × 5¹ × 13² × 31¹ × 41¹
LCM(5070,5084) = 12887940