What is the Least Common Multiple of 80906 and 80920?

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 80906 and 80920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80906 and 80920, than apply into the LCM equation.

GCF(80906,80920) = 14
LCM(80906,80920) = ( 80906 × 80920) / 14
LCM(80906,80920) = 6546913520 / 14
LCM(80906,80920) = 467636680

Least Common Multiple (LCM) of 80906 and 80920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80906 and 80920. First we will calculate the prime factors of 80906 and 80920.

Prime Factorization of 80906

Prime Factorization of 80920

Now multiplying the highest exponent prime factors to calculate the LCM of 80906 and 80920.

LCM(80906,80920) = 2³ × 7¹ × 5779¹ × 5¹ × 17²
LCM(80906,80920) = 467636680