What is the Least Common Multiple of 80446 and 80464?

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 80464 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 80464, than apply into the LCM equation.

GCF(80446,80464) = 2
LCM(80446,80464) = ( 80446 × 80464) / 2
LCM(80446,80464) = 6473006944 / 2
LCM(80446,80464) = 3236503472

Least Common Multiple (LCM) of 80446 and 80464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80446 and 80464. First we will calculate the prime factors of 80446 and 80464.

Prime Factorization of 80446

Prime Factorization of 80464

Now multiplying the highest exponent prime factors to calculate the LCM of 80446 and 80464.

LCM(80446,80464) = 2⁴ × 19¹ × 29¹ × 73¹ × 47¹ × 107¹
LCM(80446,80464) = 3236503472