What is the Least Common Multiple of 48630 and 48642?

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 48642 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 48642, than apply into the LCM equation.

GCF(48630,48642) = 6
LCM(48630,48642) = ( 48630 × 48642) / 6
LCM(48630,48642) = 2365460460 / 6
LCM(48630,48642) = 394243410

Least Common Multiple (LCM) of 48630 and 48642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48630 and 48642. First we will calculate the prime factors of 48630 and 48642.

Prime Factorization of 48630

Prime Factorization of 48642

Now multiplying the highest exponent prime factors to calculate the LCM of 48630 and 48642.

LCM(48630,48642) = 2¹ × 3¹ × 5¹ × 1621¹ × 11² × 67¹
LCM(48630,48642) = 394243410