What is the Least Common Multiple of 48648 and 48654?

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 48648 and 48654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48648 and 48654, than apply into the LCM equation.

GCF(48648,48654) = 6
LCM(48648,48654) = ( 48648 × 48654) / 6
LCM(48648,48654) = 2366919792 / 6
LCM(48648,48654) = 394486632

Least Common Multiple (LCM) of 48648 and 48654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48648 and 48654. First we will calculate the prime factors of 48648 and 48654.

Prime Factorization of 48648

Prime Factorization of 48654

Now multiplying the highest exponent prime factors to calculate the LCM of 48648 and 48654.

LCM(48648,48654) = 2³ × 3³ × 2027¹ × 17¹ × 53¹
LCM(48648,48654) = 394486632