What is the Least Common Multiple of 48099 and 48111?

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 48099 and 48111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48099 and 48111, than apply into the LCM equation.

GCF(48099,48111) = 3
LCM(48099,48111) = ( 48099 × 48111) / 3
LCM(48099,48111) = 2314090989 / 3
LCM(48099,48111) = 771363663

Least Common Multiple (LCM) of 48099 and 48111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48099 and 48111. First we will calculate the prime factors of 48099 and 48111.

Prime Factorization of 48099

Prime Factorization of 48111

Now multiplying the highest exponent prime factors to calculate the LCM of 48099 and 48111.

LCM(48099,48111) = 3¹ × 16033¹ × 7¹ × 29¹ × 79¹
LCM(48099,48111) = 771363663