What is the Least Common Multiple of 75957 and 75969?

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 75957 and 75969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75957 and 75969, than apply into the LCM equation.

GCF(75957,75969) = 3
LCM(75957,75969) = ( 75957 × 75969) / 3
LCM(75957,75969) = 5770377333 / 3
LCM(75957,75969) = 1923459111

Least Common Multiple (LCM) of 75957 and 75969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75957 and 75969. First we will calculate the prime factors of 75957 and 75969.

Prime Factorization of 75957

Prime Factorization of 75969

Now multiplying the highest exponent prime factors to calculate the LCM of 75957 and 75969.

LCM(75957,75969) = 3² × 7¹ × 3617¹ × 23¹ × 367¹
LCM(75957,75969) = 1923459111