What is the Least Common Multiple of 21933 and 21948?

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 21933 and 21948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21933 and 21948, than apply into the LCM equation.

GCF(21933,21948) = 3
LCM(21933,21948) = ( 21933 × 21948) / 3
LCM(21933,21948) = 481385484 / 3
LCM(21933,21948) = 160461828

Least Common Multiple (LCM) of 21933 and 21948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21933 and 21948. First we will calculate the prime factors of 21933 and 21948.

Prime Factorization of 21933

Prime Factorization of 21948

Now multiplying the highest exponent prime factors to calculate the LCM of 21933 and 21948.

LCM(21933,21948) = 3² × 2437¹ × 2² × 31¹ × 59¹
LCM(21933,21948) = 160461828