What is the Least Common Multiple of 87349 and 87367?

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 87349 and 87367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87349 and 87367, than apply into the LCM equation.

GCF(87349,87367) = 1
LCM(87349,87367) = ( 87349 × 87367) / 1
LCM(87349,87367) = 7631420083 / 1
LCM(87349,87367) = 7631420083

Least Common Multiple (LCM) of 87349 and 87367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87349 and 87367. First we will calculate the prime factors of 87349 and 87367.

Prime Factorization of 87349

Prime Factorization of 87367

Now multiplying the highest exponent prime factors to calculate the LCM of 87349 and 87367.

LCM(87349,87367) = 113¹ × 773¹ × 7² × 1783¹
LCM(87349,87367) = 7631420083