What is the Least Common Multiple of 21048 and 21054?

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 21048 and 21054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21048 and 21054, than apply into the LCM equation.

GCF(21048,21054) = 6
LCM(21048,21054) = ( 21048 × 21054) / 6
LCM(21048,21054) = 443144592 / 6
LCM(21048,21054) = 73857432

Least Common Multiple (LCM) of 21048 and 21054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21048 and 21054. First we will calculate the prime factors of 21048 and 21054.

Prime Factorization of 21048

Prime Factorization of 21054

Now multiplying the highest exponent prime factors to calculate the LCM of 21048 and 21054.

LCM(21048,21054) = 2³ × 3¹ × 877¹ × 11² × 29¹
LCM(21048,21054) = 73857432