What is the Least Common Multiple of 71454 and 71464?

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 71454 and 71464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71454 and 71464, than apply into the LCM equation.

GCF(71454,71464) = 2
LCM(71454,71464) = ( 71454 × 71464) / 2
LCM(71454,71464) = 5106388656 / 2
LCM(71454,71464) = 2553194328

Least Common Multiple (LCM) of 71454 and 71464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71454 and 71464. First we will calculate the prime factors of 71454 and 71464.

Prime Factorization of 71454

Prime Factorization of 71464

Now multiplying the highest exponent prime factors to calculate the LCM of 71454 and 71464.

LCM(71454,71464) = 2³ × 3¹ × 11909¹ × 8933¹
LCM(71454,71464) = 2553194328