What is the Least Common Multiple of 98805 and 98811?

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 98805 and 98811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98805 and 98811, than apply into the LCM equation.

GCF(98805,98811) = 3
LCM(98805,98811) = ( 98805 × 98811) / 3
LCM(98805,98811) = 9763020855 / 3
LCM(98805,98811) = 3254340285

Least Common Multiple (LCM) of 98805 and 98811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98805 and 98811. First we will calculate the prime factors of 98805 and 98811.

Prime Factorization of 98805

Prime Factorization of 98811

Now multiplying the highest exponent prime factors to calculate the LCM of 98805 and 98811.

LCM(98805,98811) = 3² × 5¹ × 7¹ × 941¹ × 10979¹
LCM(98805,98811) = 3254340285