What is the Least Common Multiple of 80220 and 80237?

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 80220 and 80237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80220 and 80237, than apply into the LCM equation.

GCF(80220,80237) = 1
LCM(80220,80237) = ( 80220 × 80237) / 1
LCM(80220,80237) = 6436612140 / 1
LCM(80220,80237) = 6436612140

Least Common Multiple (LCM) of 80220 and 80237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80220 and 80237. First we will calculate the prime factors of 80220 and 80237.

Prime Factorization of 80220

Prime Factorization of 80237

Now multiplying the highest exponent prime factors to calculate the LCM of 80220 and 80237.

LCM(80220,80237) = 2² × 3¹ × 5¹ × 7¹ × 191¹ × 19¹ × 41¹ × 103¹
LCM(80220,80237) = 6436612140