What is the Least Common Multiple of 48420 and 48438?

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 48420 and 48438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48420 and 48438, than apply into the LCM equation.

GCF(48420,48438) = 18
LCM(48420,48438) = ( 48420 × 48438) / 18
LCM(48420,48438) = 2345367960 / 18
LCM(48420,48438) = 130298220

Least Common Multiple (LCM) of 48420 and 48438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48420 and 48438. First we will calculate the prime factors of 48420 and 48438.

Prime Factorization of 48420

Prime Factorization of 48438

Now multiplying the highest exponent prime factors to calculate the LCM of 48420 and 48438.

LCM(48420,48438) = 2² × 3⁴ × 5¹ × 269¹ × 13¹ × 23¹
LCM(48420,48438) = 130298220