What is the Least Common Multiple of 48240 and 48258?

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 48240 and 48258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48240 and 48258, than apply into the LCM equation.

GCF(48240,48258) = 18
LCM(48240,48258) = ( 48240 × 48258) / 18
LCM(48240,48258) = 2327965920 / 18
LCM(48240,48258) = 129331440

Least Common Multiple (LCM) of 48240 and 48258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48240 and 48258. First we will calculate the prime factors of 48240 and 48258.

Prime Factorization of 48240

Prime Factorization of 48258

Now multiplying the highest exponent prime factors to calculate the LCM of 48240 and 48258.

LCM(48240,48258) = 2⁴ × 3² × 5¹ × 67¹ × 7¹ × 383¹
LCM(48240,48258) = 129331440