What is the Least Common Multiple of 75970 and 75982?

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 75970 and 75982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75970 and 75982, than apply into the LCM equation.

GCF(75970,75982) = 2
LCM(75970,75982) = ( 75970 × 75982) / 2
LCM(75970,75982) = 5772352540 / 2
LCM(75970,75982) = 2886176270

Least Common Multiple (LCM) of 75970 and 75982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75970 and 75982. First we will calculate the prime factors of 75970 and 75982.

Prime Factorization of 75970

Prime Factorization of 75982

Now multiplying the highest exponent prime factors to calculate the LCM of 75970 and 75982.

LCM(75970,75982) = 2¹ × 5¹ × 71¹ × 107¹ × 37991¹
LCM(75970,75982) = 2886176270