What is the Least Common Multiple of 98805 and 98813?

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 98813 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 98813, than apply into the LCM equation.

GCF(98805,98813) = 1
LCM(98805,98813) = ( 98805 × 98813) / 1
LCM(98805,98813) = 9763218465 / 1
LCM(98805,98813) = 9763218465

Least Common Multiple (LCM) of 98805 and 98813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98805 and 98813. First we will calculate the prime factors of 98805 and 98813.

Prime Factorization of 98805

Prime Factorization of 98813

Now multiplying the highest exponent prime factors to calculate the LCM of 98805 and 98813.

LCM(98805,98813) = 3¹ × 5¹ × 7¹ × 941¹ × 11¹ × 13¹ × 691¹
LCM(98805,98813) = 9763218465