What is the Least Common Multiple of 77254 and 77272?

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 77272 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 77272, than apply into the LCM equation.

GCF(77254,77272) = 2
LCM(77254,77272) = ( 77254 × 77272) / 2
LCM(77254,77272) = 5969571088 / 2
LCM(77254,77272) = 2984785544

Least Common Multiple (LCM) of 77254 and 77272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77254 and 77272. First we will calculate the prime factors of 77254 and 77272.

Prime Factorization of 77254

Prime Factorization of 77272

Now multiplying the highest exponent prime factors to calculate the LCM of 77254 and 77272.

LCM(77254,77272) = 2³ × 19² × 107¹ × 13¹ × 743¹
LCM(77254,77272) = 2984785544