What is the Least Common Multiple of 70432 and 70443?

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 70432 and 70443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70432 and 70443, than apply into the LCM equation.

GCF(70432,70443) = 1
LCM(70432,70443) = ( 70432 × 70443) / 1
LCM(70432,70443) = 4961441376 / 1
LCM(70432,70443) = 4961441376

Least Common Multiple (LCM) of 70432 and 70443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70432 and 70443. First we will calculate the prime factors of 70432 and 70443.

Prime Factorization of 70432

Prime Factorization of 70443

Now multiplying the highest exponent prime factors to calculate the LCM of 70432 and 70443.

LCM(70432,70443) = 2⁵ × 31¹ × 71¹ × 3³ × 2609¹
LCM(70432,70443) = 4961441376