What is the Least Common Multiple of 40412 and 40430?

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 40412 and 40430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40412 and 40430, than apply into the LCM equation.

GCF(40412,40430) = 2
LCM(40412,40430) = ( 40412 × 40430) / 2
LCM(40412,40430) = 1633857160 / 2
LCM(40412,40430) = 816928580

Least Common Multiple (LCM) of 40412 and 40430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40412 and 40430. First we will calculate the prime factors of 40412 and 40430.

Prime Factorization of 40412

Prime Factorization of 40430

Now multiplying the highest exponent prime factors to calculate the LCM of 40412 and 40430.

LCM(40412,40430) = 2² × 10103¹ × 5¹ × 13¹ × 311¹
LCM(40412,40430) = 816928580