What is the Least Common Multiple of 98692 and 98704?

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 98692 and 98704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98692 and 98704, than apply into the LCM equation.

GCF(98692,98704) = 4
LCM(98692,98704) = ( 98692 × 98704) / 4
LCM(98692,98704) = 9741295168 / 4
LCM(98692,98704) = 2435323792

Least Common Multiple (LCM) of 98692 and 98704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98692 and 98704. First we will calculate the prime factors of 98692 and 98704.

Prime Factorization of 98692

Prime Factorization of 98704

Now multiplying the highest exponent prime factors to calculate the LCM of 98692 and 98704.

LCM(98692,98704) = 2⁴ × 11¹ × 2243¹ × 31¹ × 199¹
LCM(98692,98704) = 2435323792