What is the Least Common Multiple of 98560 and 98565?

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 98560 and 98565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98560 and 98565, than apply into the LCM equation.

GCF(98560,98565) = 5
LCM(98560,98565) = ( 98560 × 98565) / 5
LCM(98560,98565) = 9714566400 / 5
LCM(98560,98565) = 1942913280

Least Common Multiple (LCM) of 98560 and 98565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98560 and 98565. First we will calculate the prime factors of 98560 and 98565.

Prime Factorization of 98560

Prime Factorization of 98565

Now multiplying the highest exponent prime factors to calculate the LCM of 98560 and 98565.

LCM(98560,98565) = 2⁸ × 5¹ × 7¹ × 11¹ × 3¹ × 6571¹
LCM(98560,98565) = 1942913280