What is the Least Common Multiple of 98080 and 98085?

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 98080 and 98085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98080 and 98085, than apply into the LCM equation.

GCF(98080,98085) = 5
LCM(98080,98085) = ( 98080 × 98085) / 5
LCM(98080,98085) = 9620176800 / 5
LCM(98080,98085) = 1924035360

Least Common Multiple (LCM) of 98080 and 98085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98080 and 98085. First we will calculate the prime factors of 98080 and 98085.

Prime Factorization of 98080

Prime Factorization of 98085

Now multiplying the highest exponent prime factors to calculate the LCM of 98080 and 98085.

LCM(98080,98085) = 2⁵ × 5¹ × 613¹ × 3¹ × 13¹ × 503¹
LCM(98080,98085) = 1924035360