What is the Least Common Multiple of 87594 and 87605?

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 87594 and 87605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87594 and 87605, than apply into the LCM equation.

GCF(87594,87605) = 1
LCM(87594,87605) = ( 87594 × 87605) / 1
LCM(87594,87605) = 7673672370 / 1
LCM(87594,87605) = 7673672370

Least Common Multiple (LCM) of 87594 and 87605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87594 and 87605. First we will calculate the prime factors of 87594 and 87605.

Prime Factorization of 87594

Prime Factorization of 87605

Now multiplying the highest exponent prime factors to calculate the LCM of 87594 and 87605.

LCM(87594,87605) = 2¹ × 3¹ × 13¹ × 1123¹ × 5¹ × 7¹ × 2503¹
LCM(87594,87605) = 7673672370