What is the Least Common Multiple of 75940 and 75954?

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 75940 and 75954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75940 and 75954, than apply into the LCM equation.

GCF(75940,75954) = 2
LCM(75940,75954) = ( 75940 × 75954) / 2
LCM(75940,75954) = 5767946760 / 2
LCM(75940,75954) = 2883973380

Least Common Multiple (LCM) of 75940 and 75954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75940 and 75954. First we will calculate the prime factors of 75940 and 75954.

Prime Factorization of 75940

Prime Factorization of 75954

Now multiplying the highest exponent prime factors to calculate the LCM of 75940 and 75954.

LCM(75940,75954) = 2² × 5¹ × 3797¹ × 3¹ × 12659¹
LCM(75940,75954) = 2883973380