What is the Least Common Multiple of 87390 and 87407?

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 87390 and 87407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87390 and 87407, than apply into the LCM equation.

GCF(87390,87407) = 1
LCM(87390,87407) = ( 87390 × 87407) / 1
LCM(87390,87407) = 7638497730 / 1
LCM(87390,87407) = 7638497730

Least Common Multiple (LCM) of 87390 and 87407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87390 and 87407. First we will calculate the prime factors of 87390 and 87407.

Prime Factorization of 87390

Prime Factorization of 87407

Now multiplying the highest exponent prime factors to calculate the LCM of 87390 and 87407.

LCM(87390,87407) = 2¹ × 3² × 5¹ × 971¹ × 87407¹
LCM(87390,87407) = 7638497730