What is the Least Common Multiple of 87435 and 87451?

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 87451 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 87451, than apply into the LCM equation.

GCF(87435,87451) = 1
LCM(87435,87451) = ( 87435 × 87451) / 1
LCM(87435,87451) = 7646278185 / 1
LCM(87435,87451) = 7646278185

Least Common Multiple (LCM) of 87435 and 87451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87435 and 87451. First we will calculate the prime factors of 87435 and 87451.

Prime Factorization of 87435

Prime Factorization of 87451

Now multiplying the highest exponent prime factors to calculate the LCM of 87435 and 87451.

LCM(87435,87451) = 3² × 5¹ × 29¹ × 67¹ × 7¹ × 13¹ × 31²
LCM(87435,87451) = 7646278185