What is the Least Common Multiple of 87220 and 87238?

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 87220 and 87238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87220 and 87238, than apply into the LCM equation.

GCF(87220,87238) = 2
LCM(87220,87238) = ( 87220 × 87238) / 2
LCM(87220,87238) = 7608898360 / 2
LCM(87220,87238) = 3804449180

Least Common Multiple (LCM) of 87220 and 87238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87220 and 87238. First we will calculate the prime factors of 87220 and 87238.

Prime Factorization of 87220

Prime Factorization of 87238

Now multiplying the highest exponent prime factors to calculate the LCM of 87220 and 87238.

LCM(87220,87238) = 2² × 5¹ × 7² × 89¹ × 53¹ × 823¹
LCM(87220,87238) = 3804449180