What is the Least Common Multiple of 77254 and 77264?

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 77264 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 77264, than apply into the LCM equation.

GCF(77254,77264) = 2
LCM(77254,77264) = ( 77254 × 77264) / 2
LCM(77254,77264) = 5968953056 / 2
LCM(77254,77264) = 2984476528

Least Common Multiple (LCM) of 77254 and 77264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77254 and 77264. First we will calculate the prime factors of 77254 and 77264.

Prime Factorization of 77254

Prime Factorization of 77264

Now multiplying the highest exponent prime factors to calculate the LCM of 77254 and 77264.

LCM(77254,77264) = 2⁴ × 19² × 107¹ × 11¹ × 439¹
LCM(77254,77264) = 2984476528