What is the Least Common Multiple of 48474 and 48492?

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 48474 and 48492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48474 and 48492, than apply into the LCM equation.

GCF(48474,48492) = 18
LCM(48474,48492) = ( 48474 × 48492) / 18
LCM(48474,48492) = 2350601208 / 18
LCM(48474,48492) = 130588956

Least Common Multiple (LCM) of 48474 and 48492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48474 and 48492. First we will calculate the prime factors of 48474 and 48492.

Prime Factorization of 48474

Prime Factorization of 48492

Now multiplying the highest exponent prime factors to calculate the LCM of 48474 and 48492.

LCM(48474,48492) = 2² × 3³ × 2693¹ × 449¹
LCM(48474,48492) = 130588956