What is the Least Common Multiple of 78970 and 78975?

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 78970 and 78975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78970 and 78975, than apply into the LCM equation.

GCF(78970,78975) = 5
LCM(78970,78975) = ( 78970 × 78975) / 5
LCM(78970,78975) = 6236655750 / 5
LCM(78970,78975) = 1247331150

Least Common Multiple (LCM) of 78970 and 78975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78970 and 78975. First we will calculate the prime factors of 78970 and 78975.

Prime Factorization of 78970

Prime Factorization of 78975

Now multiplying the highest exponent prime factors to calculate the LCM of 78970 and 78975.

LCM(78970,78975) = 2¹ × 5² × 53¹ × 149¹ × 3⁵ × 13¹
LCM(78970,78975) = 1247331150