What is the Least Common Multiple of 48642 and 48660?

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 48642 and 48660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48642 and 48660, than apply into the LCM equation.

GCF(48642,48660) = 6
LCM(48642,48660) = ( 48642 × 48660) / 6
LCM(48642,48660) = 2366919720 / 6
LCM(48642,48660) = 394486620

Least Common Multiple (LCM) of 48642 and 48660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48642 and 48660. First we will calculate the prime factors of 48642 and 48660.

Prime Factorization of 48642

Prime Factorization of 48660

Now multiplying the highest exponent prime factors to calculate the LCM of 48642 and 48660.

LCM(48642,48660) = 2² × 3¹ × 11² × 67¹ × 5¹ × 811¹
LCM(48642,48660) = 394486620