What is the Least Common Multiple of 98240 and 98245?

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 98240 and 98245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98240 and 98245, than apply into the LCM equation.

GCF(98240,98245) = 5
LCM(98240,98245) = ( 98240 × 98245) / 5
LCM(98240,98245) = 9651588800 / 5
LCM(98240,98245) = 1930317760

Least Common Multiple (LCM) of 98240 and 98245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98240 and 98245. First we will calculate the prime factors of 98240 and 98245.

Prime Factorization of 98240

Prime Factorization of 98245

Now multiplying the highest exponent prime factors to calculate the LCM of 98240 and 98245.

LCM(98240,98245) = 2⁶ × 5¹ × 307¹ × 7² × 401¹
LCM(98240,98245) = 1930317760