What is the Least Common Multiple of 48090 and 48099?

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 48090 and 48099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48090 and 48099, than apply into the LCM equation.

GCF(48090,48099) = 3
LCM(48090,48099) = ( 48090 × 48099) / 3
LCM(48090,48099) = 2313080910 / 3
LCM(48090,48099) = 771026970

Least Common Multiple (LCM) of 48090 and 48099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48090 and 48099. First we will calculate the prime factors of 48090 and 48099.

Prime Factorization of 48090

Prime Factorization of 48099

Now multiplying the highest exponent prime factors to calculate the LCM of 48090 and 48099.

LCM(48090,48099) = 2¹ × 3¹ × 5¹ × 7¹ × 229¹ × 16033¹
LCM(48090,48099) = 771026970