What is the Least Common Multiple of 76059 and 76077?

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 76059 and 76077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76059 and 76077, than apply into the LCM equation.

GCF(76059,76077) = 9
LCM(76059,76077) = ( 76059 × 76077) / 9
LCM(76059,76077) = 5786340543 / 9
LCM(76059,76077) = 642926727

Least Common Multiple (LCM) of 76059 and 76077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76059 and 76077. First we will calculate the prime factors of 76059 and 76077.

Prime Factorization of 76059

Prime Factorization of 76077

Now multiplying the highest exponent prime factors to calculate the LCM of 76059 and 76077.

LCM(76059,76077) = 3⁵ × 313¹ × 79¹ × 107¹
LCM(76059,76077) = 642926727