What is the Least Common Multiple of 98014 and 98032?

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 98014 and 98032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98014 and 98032, than apply into the LCM equation.

GCF(98014,98032) = 2
LCM(98014,98032) = ( 98014 × 98032) / 2
LCM(98014,98032) = 9608508448 / 2
LCM(98014,98032) = 4804254224

Least Common Multiple (LCM) of 98014 and 98032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98014 and 98032. First we will calculate the prime factors of 98014 and 98032.

Prime Factorization of 98014

Prime Factorization of 98032

Now multiplying the highest exponent prime factors to calculate the LCM of 98014 and 98032.

LCM(98014,98032) = 2⁴ × 7¹ × 7001¹ × 11¹ × 557¹
LCM(98014,98032) = 4804254224