What is the Least Common Multiple of 70413 and 70431?

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 70413 and 70431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70413 and 70431, than apply into the LCM equation.

GCF(70413,70431) = 3
LCM(70413,70431) = ( 70413 × 70431) / 3
LCM(70413,70431) = 4959258003 / 3
LCM(70413,70431) = 1653086001

Least Common Multiple (LCM) of 70413 and 70431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70413 and 70431. First we will calculate the prime factors of 70413 and 70431.

Prime Factorization of 70413

Prime Factorization of 70431

Now multiplying the highest exponent prime factors to calculate the LCM of 70413 and 70431.

LCM(70413,70431) = 3¹ × 7² × 479¹ × 17¹ × 1381¹
LCM(70413,70431) = 1653086001