What is the Least Common Multiple of 60416 and 60429?

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 60416 and 60429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60416 and 60429, than apply into the LCM equation.

GCF(60416,60429) = 1
LCM(60416,60429) = ( 60416 × 60429) / 1
LCM(60416,60429) = 3650878464 / 1
LCM(60416,60429) = 3650878464

Least Common Multiple (LCM) of 60416 and 60429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60416 and 60429. First we will calculate the prime factors of 60416 and 60429.

Prime Factorization of 60416

Prime Factorization of 60429

Now multiplying the highest exponent prime factors to calculate the LCM of 60416 and 60429.

LCM(60416,60429) = 2¹⁰ × 59¹ × 3¹ × 20143¹
LCM(60416,60429) = 3650878464