What is the Least Common Multiple of 87344 and 87349?

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 87344 and 87349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87344 and 87349, than apply into the LCM equation.

GCF(87344,87349) = 1
LCM(87344,87349) = ( 87344 × 87349) / 1
LCM(87344,87349) = 7629411056 / 1
LCM(87344,87349) = 7629411056

Least Common Multiple (LCM) of 87344 and 87349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87344 and 87349. First we will calculate the prime factors of 87344 and 87349.

Prime Factorization of 87344

Prime Factorization of 87349

Now multiplying the highest exponent prime factors to calculate the LCM of 87344 and 87349.

LCM(87344,87349) = 2⁴ × 53¹ × 103¹ × 113¹ × 773¹
LCM(87344,87349) = 7629411056