What is the Least Common Multiple of 48629 and 48648?

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 48629 and 48648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48629 and 48648, than apply into the LCM equation.

GCF(48629,48648) = 1
LCM(48629,48648) = ( 48629 × 48648) / 1
LCM(48629,48648) = 2365703592 / 1
LCM(48629,48648) = 2365703592

Least Common Multiple (LCM) of 48629 and 48648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48629 and 48648. First we will calculate the prime factors of 48629 and 48648.

Prime Factorization of 48629

Prime Factorization of 48648

Now multiplying the highest exponent prime factors to calculate the LCM of 48629 and 48648.

LCM(48629,48648) = 7¹ × 6947¹ × 2³ × 3¹ × 2027¹
LCM(48629,48648) = 2365703592