What is the Least Common Multiple of 80446 and 80465?

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 80446 and 80465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80446 and 80465, than apply into the LCM equation.

GCF(80446,80465) = 19
LCM(80446,80465) = ( 80446 × 80465) / 19
LCM(80446,80465) = 6473087390 / 19
LCM(80446,80465) = 340688810

Least Common Multiple (LCM) of 80446 and 80465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80446 and 80465. First we will calculate the prime factors of 80446 and 80465.

Prime Factorization of 80446

Prime Factorization of 80465

Now multiplying the highest exponent prime factors to calculate the LCM of 80446 and 80465.

LCM(80446,80465) = 2¹ × 19¹ × 29¹ × 73¹ × 5¹ × 7¹ × 11²
LCM(80446,80465) = 340688810