What is the Least Common Multiple of 77439 and 77445?

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 77439 and 77445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77439 and 77445, than apply into the LCM equation.

GCF(77439,77445) = 3
LCM(77439,77445) = ( 77439 × 77445) / 3
LCM(77439,77445) = 5997263355 / 3
LCM(77439,77445) = 1999087785

Least Common Multiple (LCM) of 77439 and 77445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77439 and 77445. First we will calculate the prime factors of 77439 and 77445.

Prime Factorization of 77439

Prime Factorization of 77445

Now multiplying the highest exponent prime factors to calculate the LCM of 77439 and 77445.

LCM(77439,77445) = 3² × 83¹ × 311¹ × 5¹ × 1721¹
LCM(77439,77445) = 1999087785