What is the Least Common Multiple of 98960 and 98969?

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 98960 and 98969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98960 and 98969, than apply into the LCM equation.

GCF(98960,98969) = 1
LCM(98960,98969) = ( 98960 × 98969) / 1
LCM(98960,98969) = 9793972240 / 1
LCM(98960,98969) = 9793972240

Least Common Multiple (LCM) of 98960 and 98969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98960 and 98969. First we will calculate the prime factors of 98960 and 98969.

Prime Factorization of 98960

Prime Factorization of 98969

Now multiplying the highest exponent prime factors to calculate the LCM of 98960 and 98969.

LCM(98960,98969) = 2⁴ × 5¹ × 1237¹ × 13¹ × 23¹ × 331¹
LCM(98960,98969) = 9793972240