What is the Least Common Multiple of 87340 and 87353?

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 87340 and 87353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87340 and 87353, than apply into the LCM equation.

GCF(87340,87353) = 1
LCM(87340,87353) = ( 87340 × 87353) / 1
LCM(87340,87353) = 7629411020 / 1
LCM(87340,87353) = 7629411020

Least Common Multiple (LCM) of 87340 and 87353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87340 and 87353. First we will calculate the prime factors of 87340 and 87353.

Prime Factorization of 87340

Prime Factorization of 87353

Now multiplying the highest exponent prime factors to calculate the LCM of 87340 and 87353.

LCM(87340,87353) = 2² × 5¹ × 11¹ × 397¹ × 7¹ × 12479¹
LCM(87340,87353) = 7629411020