What is the Least Common Multiple of 99239 and 99246?

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 99239 and 99246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99239 and 99246, than apply into the LCM equation.

GCF(99239,99246) = 7
LCM(99239,99246) = ( 99239 × 99246) / 7
LCM(99239,99246) = 9849073794 / 7
LCM(99239,99246) = 1407010542

Least Common Multiple (LCM) of 99239 and 99246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99239 and 99246. First we will calculate the prime factors of 99239 and 99246.

Prime Factorization of 99239

Prime Factorization of 99246

Now multiplying the highest exponent prime factors to calculate the LCM of 99239 and 99246.

LCM(99239,99246) = 7¹ × 14177¹ × 2¹ × 3¹ × 17¹ × 139¹
LCM(99239,99246) = 1407010542