What is the Least Common Multiple of 99736 and 99743?

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 99736 and 99743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99736 and 99743, than apply into the LCM equation.

GCF(99736,99743) = 7
LCM(99736,99743) = ( 99736 × 99743) / 7
LCM(99736,99743) = 9947967848 / 7
LCM(99736,99743) = 1421138264

Least Common Multiple (LCM) of 99736 and 99743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99736 and 99743. First we will calculate the prime factors of 99736 and 99743.

Prime Factorization of 99736

Prime Factorization of 99743

Now multiplying the highest exponent prime factors to calculate the LCM of 99736 and 99743.

LCM(99736,99743) = 2³ × 7¹ × 13¹ × 137¹ × 14249¹
LCM(99736,99743) = 1421138264