What is the Least Common Multiple of 87790 and 87800?

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 87790 and 87800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87790 and 87800, than apply into the LCM equation.

GCF(87790,87800) = 10
LCM(87790,87800) = ( 87790 × 87800) / 10
LCM(87790,87800) = 7707962000 / 10
LCM(87790,87800) = 770796200

Least Common Multiple (LCM) of 87790 and 87800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87790 and 87800. First we will calculate the prime factors of 87790 and 87800.

Prime Factorization of 87790

Prime Factorization of 87800

Now multiplying the highest exponent prime factors to calculate the LCM of 87790 and 87800.

LCM(87790,87800) = 2³ × 5² × 8779¹ × 439¹
LCM(87790,87800) = 770796200