What is the Least Common Multiple of 98616 and 98634?

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 98616 and 98634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98616 and 98634, than apply into the LCM equation.

GCF(98616,98634) = 6
LCM(98616,98634) = ( 98616 × 98634) / 6
LCM(98616,98634) = 9726890544 / 6
LCM(98616,98634) = 1621148424

Least Common Multiple (LCM) of 98616 and 98634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98616 and 98634. First we will calculate the prime factors of 98616 and 98634.

Prime Factorization of 98616

Prime Factorization of 98634

Now multiplying the highest exponent prime factors to calculate the LCM of 98616 and 98634.

LCM(98616,98634) = 2³ × 3¹ × 7¹ × 587¹ × 17¹ × 967¹
LCM(98616,98634) = 1621148424