What is the Least Common Multiple of 75954 and 75965?

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 75954 and 75965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75954 and 75965, than apply into the LCM equation.

GCF(75954,75965) = 1
LCM(75954,75965) = ( 75954 × 75965) / 1
LCM(75954,75965) = 5769845610 / 1
LCM(75954,75965) = 5769845610

Least Common Multiple (LCM) of 75954 and 75965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75954 and 75965. First we will calculate the prime factors of 75954 and 75965.

Prime Factorization of 75954

Prime Factorization of 75965

Now multiplying the highest exponent prime factors to calculate the LCM of 75954 and 75965.

LCM(75954,75965) = 2¹ × 3¹ × 12659¹ × 5¹ × 15193¹
LCM(75954,75965) = 5769845610