What is the Least Common Multiple of 77254 and 77267?

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 77254 and 77267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77254 and 77267, than apply into the LCM equation.

GCF(77254,77267) = 1
LCM(77254,77267) = ( 77254 × 77267) / 1
LCM(77254,77267) = 5969184818 / 1
LCM(77254,77267) = 5969184818

Least Common Multiple (LCM) of 77254 and 77267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77254 and 77267. First we will calculate the prime factors of 77254 and 77267.

Prime Factorization of 77254

Prime Factorization of 77267

Now multiplying the highest exponent prime factors to calculate the LCM of 77254 and 77267.

LCM(77254,77267) = 2¹ × 19² × 107¹ × 77267¹
LCM(77254,77267) = 5969184818