What is the Least Common Multiple of 87800 and 87814?

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 87800 and 87814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87800 and 87814, than apply into the LCM equation.

GCF(87800,87814) = 2
LCM(87800,87814) = ( 87800 × 87814) / 2
LCM(87800,87814) = 7710069200 / 2
LCM(87800,87814) = 3855034600

Least Common Multiple (LCM) of 87800 and 87814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87800 and 87814. First we will calculate the prime factors of 87800 and 87814.

Prime Factorization of 87800

Prime Factorization of 87814

Now multiplying the highest exponent prime factors to calculate the LCM of 87800 and 87814.

LCM(87800,87814) = 2³ × 5² × 439¹ × 23² × 83¹
LCM(87800,87814) = 3855034600