What is the Least Common Multiple of 87435 and 87444?

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 87435 and 87444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87435 and 87444, than apply into the LCM equation.

GCF(87435,87444) = 9
LCM(87435,87444) = ( 87435 × 87444) / 9
LCM(87435,87444) = 7645666140 / 9
LCM(87435,87444) = 849518460

Least Common Multiple (LCM) of 87435 and 87444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87435 and 87444. First we will calculate the prime factors of 87435 and 87444.

Prime Factorization of 87435

Prime Factorization of 87444

Now multiplying the highest exponent prime factors to calculate the LCM of 87435 and 87444.

LCM(87435,87444) = 3² × 5¹ × 29¹ × 67¹ × 2² × 7¹ × 347¹
LCM(87435,87444) = 849518460