What is the Least Common Multiple of 48423 and 48436?

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 48423 and 48436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48423 and 48436, than apply into the LCM equation.

GCF(48423,48436) = 1
LCM(48423,48436) = ( 48423 × 48436) / 1
LCM(48423,48436) = 2345416428 / 1
LCM(48423,48436) = 2345416428

Least Common Multiple (LCM) of 48423 and 48436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48423 and 48436. First we will calculate the prime factors of 48423 and 48436.

Prime Factorization of 48423

Prime Factorization of 48436

Now multiplying the highest exponent prime factors to calculate the LCM of 48423 and 48436.

LCM(48423,48436) = 3¹ × 16141¹ × 2² × 12109¹
LCM(48423,48436) = 2345416428