What is the Least Common Multiple of 48228 and 48240?

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 48228 and 48240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48228 and 48240, than apply into the LCM equation.

GCF(48228,48240) = 12
LCM(48228,48240) = ( 48228 × 48240) / 12
LCM(48228,48240) = 2326518720 / 12
LCM(48228,48240) = 193876560

Least Common Multiple (LCM) of 48228 and 48240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48228 and 48240. First we will calculate the prime factors of 48228 and 48240.

Prime Factorization of 48228

Prime Factorization of 48240

Now multiplying the highest exponent prime factors to calculate the LCM of 48228 and 48240.

LCM(48228,48240) = 2⁴ × 3² × 4019¹ × 5¹ × 67¹
LCM(48228,48240) = 193876560