What is the Least Common Multiple of 80778 and 80798?

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 80798 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 80798, than apply into the LCM equation.

GCF(80778,80798) = 2
LCM(80778,80798) = ( 80778 × 80798) / 2
LCM(80778,80798) = 6526700844 / 2
LCM(80778,80798) = 3263350422

Least Common Multiple (LCM) of 80778 and 80798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80778 and 80798. First we will calculate the prime factors of 80778 and 80798.

Prime Factorization of 80778

Prime Factorization of 80798

Now multiplying the highest exponent prime factors to calculate the LCM of 80778 and 80798.

LCM(80778,80798) = 2¹ × 3¹ × 13463¹ × 71¹ × 569¹
LCM(80778,80798) = 3263350422