What is the Least Common Multiple of 87350 and 87369?

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 87350 and 87369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87350 and 87369, than apply into the LCM equation.

GCF(87350,87369) = 1
LCM(87350,87369) = ( 87350 × 87369) / 1
LCM(87350,87369) = 7631682150 / 1
LCM(87350,87369) = 7631682150

Least Common Multiple (LCM) of 87350 and 87369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87350 and 87369. First we will calculate the prime factors of 87350 and 87369.

Prime Factorization of 87350

Prime Factorization of 87369

Now multiplying the highest exponent prime factors to calculate the LCM of 87350 and 87369.

LCM(87350,87369) = 2¹ × 5² × 1747¹ × 3¹ × 29123¹
LCM(87350,87369) = 7631682150