What is the Least Common Multiple of 87235 and 87239?

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 87235 and 87239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87235 and 87239, than apply into the LCM equation.

GCF(87235,87239) = 1
LCM(87235,87239) = ( 87235 × 87239) / 1
LCM(87235,87239) = 7610294165 / 1
LCM(87235,87239) = 7610294165

Least Common Multiple (LCM) of 87235 and 87239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87235 and 87239. First we will calculate the prime factors of 87235 and 87239.

Prime Factorization of 87235

Prime Factorization of 87239

Now multiplying the highest exponent prime factors to calculate the LCM of 87235 and 87239.

LCM(87235,87239) = 5¹ × 73¹ × 239¹ × 23¹ × 3793¹
LCM(87235,87239) = 7610294165