What is the Least Common Multiple of 87369 and 87374?

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 87369 and 87374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87369 and 87374, than apply into the LCM equation.

GCF(87369,87374) = 1
LCM(87369,87374) = ( 87369 × 87374) / 1
LCM(87369,87374) = 7633779006 / 1
LCM(87369,87374) = 7633779006

Least Common Multiple (LCM) of 87369 and 87374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87369 and 87374. First we will calculate the prime factors of 87369 and 87374.

Prime Factorization of 87369

Prime Factorization of 87374

Now multiplying the highest exponent prime factors to calculate the LCM of 87369 and 87374.

LCM(87369,87374) = 3¹ × 29123¹ × 2¹ × 7¹ × 79²
LCM(87369,87374) = 7633779006