What is the Least Common Multiple of 31412 and 31430?

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 31412 and 31430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31412 and 31430, than apply into the LCM equation.

GCF(31412,31430) = 2
LCM(31412,31430) = ( 31412 × 31430) / 2
LCM(31412,31430) = 987279160 / 2
LCM(31412,31430) = 493639580

Least Common Multiple (LCM) of 31412 and 31430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31412 and 31430. First we will calculate the prime factors of 31412 and 31430.

Prime Factorization of 31412

Prime Factorization of 31430

Now multiplying the highest exponent prime factors to calculate the LCM of 31412 and 31430.

LCM(31412,31430) = 2² × 7853¹ × 5¹ × 7¹ × 449¹
LCM(31412,31430) = 493639580