What is the Least Common Multiple of 87282 and 87296?

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 87282 and 87296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87282 and 87296, than apply into the LCM equation.

GCF(87282,87296) = 2
LCM(87282,87296) = ( 87282 × 87296) / 2
LCM(87282,87296) = 7619369472 / 2
LCM(87282,87296) = 3809684736

Least Common Multiple (LCM) of 87282 and 87296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87282 and 87296. First we will calculate the prime factors of 87282 and 87296.

Prime Factorization of 87282

Prime Factorization of 87296

Now multiplying the highest exponent prime factors to calculate the LCM of 87282 and 87296.

LCM(87282,87296) = 2⁸ × 3² × 13¹ × 373¹ × 11¹ × 31¹
LCM(87282,87296) = 3809684736