What is the Least Common Multiple of 80415 and 80433?

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 80415 and 80433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80415 and 80433, than apply into the LCM equation.

GCF(80415,80433) = 9
LCM(80415,80433) = ( 80415 × 80433) / 9
LCM(80415,80433) = 6468019695 / 9
LCM(80415,80433) = 718668855

Least Common Multiple (LCM) of 80415 and 80433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80415 and 80433. First we will calculate the prime factors of 80415 and 80433.

Prime Factorization of 80415

Prime Factorization of 80433

Now multiplying the highest exponent prime factors to calculate the LCM of 80415 and 80433.

LCM(80415,80433) = 3⁵ × 5¹ × 1787¹ × 331¹
LCM(80415,80433) = 718668855