What is the Least Common Multiple of 77289 and 77295?

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 77289 and 77295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77289 and 77295, than apply into the LCM equation.

GCF(77289,77295) = 3
LCM(77289,77295) = ( 77289 × 77295) / 3
LCM(77289,77295) = 5974053255 / 3
LCM(77289,77295) = 1991351085

Least Common Multiple (LCM) of 77289 and 77295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77289 and 77295. First we will calculate the prime factors of 77289 and 77295.

Prime Factorization of 77289

Prime Factorization of 77295

Now multiplying the highest exponent prime factors to calculate the LCM of 77289 and 77295.

LCM(77289,77295) = 3¹ × 25763¹ × 5¹ × 5153¹
LCM(77289,77295) = 1991351085