What is the Least Common Multiple of 87594 and 87614?

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 87614 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 87614, than apply into the LCM equation.

GCF(87594,87614) = 2
LCM(87594,87614) = ( 87594 × 87614) / 2
LCM(87594,87614) = 7674460716 / 2
LCM(87594,87614) = 3837230358

Least Common Multiple (LCM) of 87594 and 87614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87594 and 87614. First we will calculate the prime factors of 87594 and 87614.

Prime Factorization of 87594

Prime Factorization of 87614

Now multiplying the highest exponent prime factors to calculate the LCM of 87594 and 87614.

LCM(87594,87614) = 2¹ × 3¹ × 13¹ × 1123¹ × 71¹ × 617¹
LCM(87594,87614) = 3837230358