What is the Least Common Multiple of 75059 and 75077?

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 75059 and 75077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75059 and 75077, than apply into the LCM equation.

GCF(75059,75077) = 1
LCM(75059,75077) = ( 75059 × 75077) / 1
LCM(75059,75077) = 5635204543 / 1
LCM(75059,75077) = 5635204543

Least Common Multiple (LCM) of 75059 and 75077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75059 and 75077. First we will calculate the prime factors of 75059 and 75077.

Prime Factorization of 75059

Prime Factorization of 75077

Now multiplying the highest exponent prime factors to calculate the LCM of 75059 and 75077.

LCM(75059,75077) = 47¹ × 1597¹ × 193¹ × 389¹
LCM(75059,75077) = 5635204543