What is the Least Common Multiple of 75769 and 75775?

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 75769 and 75775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75769 and 75775, than apply into the LCM equation.

GCF(75769,75775) = 1
LCM(75769,75775) = ( 75769 × 75775) / 1
LCM(75769,75775) = 5741395975 / 1
LCM(75769,75775) = 5741395975

Least Common Multiple (LCM) of 75769 and 75775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75769 and 75775. First we will calculate the prime factors of 75769 and 75775.

Prime Factorization of 75769

Prime Factorization of 75775

Now multiplying the highest exponent prime factors to calculate the LCM of 75769 and 75775.

LCM(75769,75775) = 17¹ × 4457¹ × 5² × 7¹ × 433¹
LCM(75769,75775) = 5741395975