What is the Least Common Multiple of 98880 and 98885?

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 98880 and 98885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98880 and 98885, than apply into the LCM equation.

GCF(98880,98885) = 5
LCM(98880,98885) = ( 98880 × 98885) / 5
LCM(98880,98885) = 9777748800 / 5
LCM(98880,98885) = 1955549760

Least Common Multiple (LCM) of 98880 and 98885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98880 and 98885. First we will calculate the prime factors of 98880 and 98885.

Prime Factorization of 98880

Prime Factorization of 98885

Now multiplying the highest exponent prime factors to calculate the LCM of 98880 and 98885.

LCM(98880,98885) = 2⁶ × 3¹ × 5¹ × 103¹ × 19777¹
LCM(98880,98885) = 1955549760