What is the Least Common Multiple of 70432 and 70451?

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 70451 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 70451, than apply into the LCM equation.

GCF(70432,70451) = 1
LCM(70432,70451) = ( 70432 × 70451) / 1
LCM(70432,70451) = 4962004832 / 1
LCM(70432,70451) = 4962004832

Least Common Multiple (LCM) of 70432 and 70451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70432 and 70451. First we will calculate the prime factors of 70432 and 70451.

Prime Factorization of 70432

Prime Factorization of 70451

Now multiplying the highest exponent prime factors to calculate the LCM of 70432 and 70451.

LCM(70432,70451) = 2⁵ × 31¹ × 71¹ × 70451¹
LCM(70432,70451) = 4962004832