What is the Least Common Multiple of 48078 and 48090?

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 48078 and 48090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48078 and 48090, than apply into the LCM equation.

GCF(48078,48090) = 6
LCM(48078,48090) = ( 48078 × 48090) / 6
LCM(48078,48090) = 2312071020 / 6
LCM(48078,48090) = 385345170

Least Common Multiple (LCM) of 48078 and 48090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48078 and 48090. First we will calculate the prime factors of 48078 and 48090.

Prime Factorization of 48078

Prime Factorization of 48090

Now multiplying the highest exponent prime factors to calculate the LCM of 48078 and 48090.

LCM(48078,48090) = 2¹ × 3² × 2671¹ × 5¹ × 7¹ × 229¹
LCM(48078,48090) = 385345170