What is the Least Common Multiple of 75980 and 75995?

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 75980 and 75995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75980 and 75995, than apply into the LCM equation.

GCF(75980,75995) = 5
LCM(75980,75995) = ( 75980 × 75995) / 5
LCM(75980,75995) = 5774100100 / 5
LCM(75980,75995) = 1154820020

Least Common Multiple (LCM) of 75980 and 75995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75980 and 75995. First we will calculate the prime factors of 75980 and 75995.

Prime Factorization of 75980

Prime Factorization of 75995

Now multiplying the highest exponent prime factors to calculate the LCM of 75980 and 75995.

LCM(75980,75995) = 2² × 5¹ × 29¹ × 131¹ × 15199¹
LCM(75980,75995) = 1154820020