What is the Least Common Multiple of 48626 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 48626 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 48626 and 48642, than apply into the LCM equation.

GCF(48626,48642) = 2
LCM(48626,48642) = ( 48626 × 48642) / 2
LCM(48626,48642) = 2365265892 / 2
LCM(48626,48642) = 1182632946

Least Common Multiple (LCM) of 48626 and 48642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48626 and 48642. First we will calculate the prime factors of 48626 and 48642.

Prime Factorization of 48626

Prime Factorization of 48642

Now multiplying the highest exponent prime factors to calculate the LCM of 48626 and 48642.

LCM(48626,48642) = 2¹ × 41¹ × 593¹ × 3¹ × 11² × 67¹
LCM(48626,48642) = 1182632946