What is the Least Common Multiple of 98945 and 98960?

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 98945 and 98960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98945 and 98960, than apply into the LCM equation.

GCF(98945,98960) = 5
LCM(98945,98960) = ( 98945 × 98960) / 5
LCM(98945,98960) = 9791597200 / 5
LCM(98945,98960) = 1958319440

Least Common Multiple (LCM) of 98945 and 98960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98945 and 98960. First we will calculate the prime factors of 98945 and 98960.

Prime Factorization of 98945

Prime Factorization of 98960

Now multiplying the highest exponent prime factors to calculate the LCM of 98945 and 98960.

LCM(98945,98960) = 5¹ × 7¹ × 11¹ × 257¹ × 2⁴ × 1237¹
LCM(98945,98960) = 1958319440