What is the Least Common Multiple of 83432 and 83445?

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 83432 and 83445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83432 and 83445, than apply into the LCM equation.

GCF(83432,83445) = 1
LCM(83432,83445) = ( 83432 × 83445) / 1
LCM(83432,83445) = 6961983240 / 1
LCM(83432,83445) = 6961983240

Least Common Multiple (LCM) of 83432 and 83445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83432 and 83445. First we will calculate the prime factors of 83432 and 83445.

Prime Factorization of 83432

Prime Factorization of 83445

Now multiplying the highest exponent prime factors to calculate the LCM of 83432 and 83445.

LCM(83432,83445) = 2³ × 10429¹ × 3¹ × 5¹ × 5563¹
LCM(83432,83445) = 6961983240