What is the Least Common Multiple of 87814 and 87832?

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 87814 and 87832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87814 and 87832, than apply into the LCM equation.

GCF(87814,87832) = 2
LCM(87814,87832) = ( 87814 × 87832) / 2
LCM(87814,87832) = 7712879248 / 2
LCM(87814,87832) = 3856439624

Least Common Multiple (LCM) of 87814 and 87832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87814 and 87832. First we will calculate the prime factors of 87814 and 87832.

Prime Factorization of 87814

Prime Factorization of 87832

Now multiplying the highest exponent prime factors to calculate the LCM of 87814 and 87832.

LCM(87814,87832) = 2³ × 23² × 83¹ × 10979¹
LCM(87814,87832) = 3856439624