What is the Least Common Multiple of 48420 and 48429?

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 48429 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 48429, than apply into the LCM equation.

GCF(48420,48429) = 9
LCM(48420,48429) = ( 48420 × 48429) / 9
LCM(48420,48429) = 2344932180 / 9
LCM(48420,48429) = 260548020

Least Common Multiple (LCM) of 48420 and 48429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48420 and 48429. First we will calculate the prime factors of 48420 and 48429.

Prime Factorization of 48420

Prime Factorization of 48429

Now multiplying the highest exponent prime factors to calculate the LCM of 48420 and 48429.

LCM(48420,48429) = 2² × 3² × 5¹ × 269¹ × 5381¹
LCM(48420,48429) = 260548020