What is the Least Common Multiple of 98342 and 98360?

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 98342 and 98360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98342 and 98360, than apply into the LCM equation.

GCF(98342,98360) = 2
LCM(98342,98360) = ( 98342 × 98360) / 2
LCM(98342,98360) = 9672919120 / 2
LCM(98342,98360) = 4836459560

Least Common Multiple (LCM) of 98342 and 98360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98342 and 98360. First we will calculate the prime factors of 98342 and 98360.

Prime Factorization of 98342

Prime Factorization of 98360

Now multiplying the highest exponent prime factors to calculate the LCM of 98342 and 98360.

LCM(98342,98360) = 2³ × 49171¹ × 5¹ × 2459¹
LCM(98342,98360) = 4836459560