What is the Least Common Multiple of 75938 and 75946?

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 75938 and 75946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75938 and 75946, than apply into the LCM equation.

GCF(75938,75946) = 2
LCM(75938,75946) = ( 75938 × 75946) / 2
LCM(75938,75946) = 5767187348 / 2
LCM(75938,75946) = 2883593674

Least Common Multiple (LCM) of 75938 and 75946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75938 and 75946. First we will calculate the prime factors of 75938 and 75946.

Prime Factorization of 75938

Prime Factorization of 75946

Now multiplying the highest exponent prime factors to calculate the LCM of 75938 and 75946.

LCM(75938,75946) = 2¹ × 43¹ × 883¹ × 13¹ × 23¹ × 127¹
LCM(75938,75946) = 2883593674