What is the Least Common Multiple of 80292 and 80299?

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 80292 and 80299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80292 and 80299, than apply into the LCM equation.

GCF(80292,80299) = 1
LCM(80292,80299) = ( 80292 × 80299) / 1
LCM(80292,80299) = 6447367308 / 1
LCM(80292,80299) = 6447367308

Least Common Multiple (LCM) of 80292 and 80299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80292 and 80299. First we will calculate the prime factors of 80292 and 80299.

Prime Factorization of 80292

Prime Factorization of 80299

Now multiplying the highest exponent prime factors to calculate the LCM of 80292 and 80299.

LCM(80292,80299) = 2² × 3¹ × 6691¹ × 59¹ × 1361¹
LCM(80292,80299) = 6447367308