What is the Least Common Multiple of 99696 and 99711?

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 99696 and 99711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99696 and 99711, than apply into the LCM equation.

GCF(99696,99711) = 3
LCM(99696,99711) = ( 99696 × 99711) / 3
LCM(99696,99711) = 9940787856 / 3
LCM(99696,99711) = 3313595952

Least Common Multiple (LCM) of 99696 and 99711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99696 and 99711. First we will calculate the prime factors of 99696 and 99711.

Prime Factorization of 99696

Prime Factorization of 99711

Now multiplying the highest exponent prime factors to calculate the LCM of 99696 and 99711.

LCM(99696,99711) = 2⁴ × 3⁴ × 31¹ × 67¹ × 1231¹
LCM(99696,99711) = 3313595952