What is the Least Common Multiple of 99872 and 99892?

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 99872 and 99892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99872 and 99892, than apply into the LCM equation.

GCF(99872,99892) = 4
LCM(99872,99892) = ( 99872 × 99892) / 4
LCM(99872,99892) = 9976413824 / 4
LCM(99872,99892) = 2494103456

Least Common Multiple (LCM) of 99872 and 99892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99872 and 99892. First we will calculate the prime factors of 99872 and 99892.

Prime Factorization of 99872

Prime Factorization of 99892

Now multiplying the highest exponent prime factors to calculate the LCM of 99872 and 99892.

LCM(99872,99892) = 2⁵ × 3121¹ × 13¹ × 17¹ × 113¹
LCM(99872,99892) = 2494103456