What is the Least Common Multiple of 99840 and 99847?

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 99840 and 99847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99840 and 99847, than apply into the LCM equation.

GCF(99840,99847) = 1
LCM(99840,99847) = ( 99840 × 99847) / 1
LCM(99840,99847) = 9968724480 / 1
LCM(99840,99847) = 9968724480

Least Common Multiple (LCM) of 99840 and 99847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99840 and 99847. First we will calculate the prime factors of 99840 and 99847.

Prime Factorization of 99840

Prime Factorization of 99847

Now multiplying the highest exponent prime factors to calculate the LCM of 99840 and 99847.

LCM(99840,99847) = 2⁹ × 3¹ × 5¹ × 13¹ × 11¹ × 29¹ × 313¹
LCM(99840,99847) = 9968724480