What is the Least Common Multiple of 80290 and 80297?

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 80290 and 80297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80290 and 80297, than apply into the LCM equation.

GCF(80290,80297) = 7
LCM(80290,80297) = ( 80290 × 80297) / 7
LCM(80290,80297) = 6447046130 / 7
LCM(80290,80297) = 921006590

Least Common Multiple (LCM) of 80290 and 80297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80290 and 80297. First we will calculate the prime factors of 80290 and 80297.

Prime Factorization of 80290

Prime Factorization of 80297

Now multiplying the highest exponent prime factors to calculate the LCM of 80290 and 80297.

LCM(80290,80297) = 2¹ × 5¹ × 7¹ × 31¹ × 37¹ × 11471¹
LCM(80290,80297) = 921006590