What is the Least Common Multiple of 77461 and 77479?

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 77461 and 77479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77461 and 77479, than apply into the LCM equation.

GCF(77461,77479) = 1
LCM(77461,77479) = ( 77461 × 77479) / 1
LCM(77461,77479) = 6001600819 / 1
LCM(77461,77479) = 6001600819

Least Common Multiple (LCM) of 77461 and 77479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77461 and 77479. First we will calculate the prime factors of 77461 and 77479.

Prime Factorization of 77461

Prime Factorization of 77479

Now multiplying the highest exponent prime factors to calculate the LCM of 77461 and 77479.

LCM(77461,77479) = 71¹ × 1091¹ × 77479¹
LCM(77461,77479) = 6001600819