What is the Least Common Multiple of 69800 and 69811?

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 69800 and 69811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69800 and 69811, than apply into the LCM equation.

GCF(69800,69811) = 1
LCM(69800,69811) = ( 69800 × 69811) / 1
LCM(69800,69811) = 4872807800 / 1
LCM(69800,69811) = 4872807800

Least Common Multiple (LCM) of 69800 and 69811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69800 and 69811. First we will calculate the prime factors of 69800 and 69811.

Prime Factorization of 69800

Prime Factorization of 69811

Now multiplying the highest exponent prime factors to calculate the LCM of 69800 and 69811.

LCM(69800,69811) = 2³ × 5² × 349¹ × 7¹ × 9973¹
LCM(69800,69811) = 4872807800