What is the Least Common Multiple of 79960 and 79975?

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 79960 and 79975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79960 and 79975, than apply into the LCM equation.

GCF(79960,79975) = 5
LCM(79960,79975) = ( 79960 × 79975) / 5
LCM(79960,79975) = 6394801000 / 5
LCM(79960,79975) = 1278960200

Least Common Multiple (LCM) of 79960 and 79975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79960 and 79975. First we will calculate the prime factors of 79960 and 79975.

Prime Factorization of 79960

Prime Factorization of 79975

Now multiplying the highest exponent prime factors to calculate the LCM of 79960 and 79975.

LCM(79960,79975) = 2³ × 5² × 1999¹ × 7¹ × 457¹
LCM(79960,79975) = 1278960200