What is the Least Common Multiple of 98270 and 98280?

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 98270 and 98280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98270 and 98280, than apply into the LCM equation.

GCF(98270,98280) = 10
LCM(98270,98280) = ( 98270 × 98280) / 10
LCM(98270,98280) = 9657975600 / 10
LCM(98270,98280) = 965797560

Least Common Multiple (LCM) of 98270 and 98280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98270 and 98280. First we will calculate the prime factors of 98270 and 98280.

Prime Factorization of 98270

Prime Factorization of 98280

Now multiplying the highest exponent prime factors to calculate the LCM of 98270 and 98280.

LCM(98270,98280) = 2³ × 5¹ × 31¹ × 317¹ × 3³ × 7¹ × 13¹
LCM(98270,98280) = 965797560