What is the Least Common Multiple of 99911 and 99920?

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 99911 and 99920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99911 and 99920, than apply into the LCM equation.

GCF(99911,99920) = 1
LCM(99911,99920) = ( 99911 × 99920) / 1
LCM(99911,99920) = 9983107120 / 1
LCM(99911,99920) = 9983107120

Least Common Multiple (LCM) of 99911 and 99920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99911 and 99920. First we will calculate the prime factors of 99911 and 99920.

Prime Factorization of 99911

Prime Factorization of 99920

Now multiplying the highest exponent prime factors to calculate the LCM of 99911 and 99920.

LCM(99911,99920) = 7² × 2039¹ × 2⁴ × 5¹ × 1249¹
LCM(99911,99920) = 9983107120