What is the Least Common Multiple of 48630 and 48638?

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 48630 and 48638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48630 and 48638, than apply into the LCM equation.

GCF(48630,48638) = 2
LCM(48630,48638) = ( 48630 × 48638) / 2
LCM(48630,48638) = 2365265940 / 2
LCM(48630,48638) = 1182632970

Least Common Multiple (LCM) of 48630 and 48638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48630 and 48638. First we will calculate the prime factors of 48630 and 48638.

Prime Factorization of 48630

Prime Factorization of 48638

Now multiplying the highest exponent prime factors to calculate the LCM of 48630 and 48638.

LCM(48630,48638) = 2¹ × 3¹ × 5¹ × 1621¹ × 83¹ × 293¹
LCM(48630,48638) = 1182632970