What is the Least Common Multiple of 77289 and 77294?

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 77294 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 77294, than apply into the LCM equation.

GCF(77289,77294) = 1
LCM(77289,77294) = ( 77289 × 77294) / 1
LCM(77289,77294) = 5973975966 / 1
LCM(77289,77294) = 5973975966

Least Common Multiple (LCM) of 77289 and 77294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77289 and 77294. First we will calculate the prime factors of 77289 and 77294.

Prime Factorization of 77289

Prime Factorization of 77294

Now multiplying the highest exponent prime factors to calculate the LCM of 77289 and 77294.

LCM(77289,77294) = 3¹ × 25763¹ × 2¹ × 7¹ × 5521¹
LCM(77289,77294) = 5973975966