What is the Least Common Multiple of 59769 and 59775?

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 59769 and 59775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59769 and 59775, than apply into the LCM equation.

GCF(59769,59775) = 3
LCM(59769,59775) = ( 59769 × 59775) / 3
LCM(59769,59775) = 3572691975 / 3
LCM(59769,59775) = 1190897325

Least Common Multiple (LCM) of 59769 and 59775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59769 and 59775. First we will calculate the prime factors of 59769 and 59775.

Prime Factorization of 59769

Prime Factorization of 59775

Now multiplying the highest exponent prime factors to calculate the LCM of 59769 and 59775.

LCM(59769,59775) = 3² × 29¹ × 229¹ × 5² × 797¹
LCM(59769,59775) = 1190897325