What is the Least Common Multiple of 80778 and 80783?

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 80778 and 80783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80778 and 80783, than apply into the LCM equation.

GCF(80778,80783) = 1
LCM(80778,80783) = ( 80778 × 80783) / 1
LCM(80778,80783) = 6525489174 / 1
LCM(80778,80783) = 6525489174

Least Common Multiple (LCM) of 80778 and 80783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80778 and 80783. First we will calculate the prime factors of 80778 and 80783.

Prime Factorization of 80778

Prime Factorization of 80783

Now multiplying the highest exponent prime factors to calculate the LCM of 80778 and 80783.

LCM(80778,80783) = 2¹ × 3¹ × 13463¹ × 80783¹
LCM(80778,80783) = 6525489174