What is the Least Common Multiple of 21036 and 21048?

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 21036 and 21048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21036 and 21048, than apply into the LCM equation.

GCF(21036,21048) = 12
LCM(21036,21048) = ( 21036 × 21048) / 12
LCM(21036,21048) = 442765728 / 12
LCM(21036,21048) = 36897144

Least Common Multiple (LCM) of 21036 and 21048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21036 and 21048. First we will calculate the prime factors of 21036 and 21048.

Prime Factorization of 21036

Prime Factorization of 21048

Now multiplying the highest exponent prime factors to calculate the LCM of 21036 and 21048.

LCM(21036,21048) = 2³ × 3¹ × 1753¹ × 877¹
LCM(21036,21048) = 36897144