What is the Least Common Multiple of 93412 and 93431?

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 93412 and 93431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93412 and 93431, than apply into the LCM equation.

GCF(93412,93431) = 1
LCM(93412,93431) = ( 93412 × 93431) / 1
LCM(93412,93431) = 8727576572 / 1
LCM(93412,93431) = 8727576572

Least Common Multiple (LCM) of 93412 and 93431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93412 and 93431. First we will calculate the prime factors of 93412 and 93431.

Prime Factorization of 93412

Prime Factorization of 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 93412 and 93431.

LCM(93412,93431) = 2² × 11² × 193¹ × 13¹ × 7187¹
LCM(93412,93431) = 8727576572