What is the Least Common Multiple of 80292 and 80307?

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 80307 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 80307, than apply into the LCM equation.

GCF(80292,80307) = 3
LCM(80292,80307) = ( 80292 × 80307) / 3
LCM(80292,80307) = 6448009644 / 3
LCM(80292,80307) = 2149336548

Least Common Multiple (LCM) of 80292 and 80307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80292 and 80307. First we will calculate the prime factors of 80292 and 80307.

Prime Factorization of 80292

Prime Factorization of 80307

Now multiplying the highest exponent prime factors to calculate the LCM of 80292 and 80307.

LCM(80292,80307) = 2² × 3² × 6691¹ × 8923¹
LCM(80292,80307) = 2149336548