What is the Least Common Multiple of 21472 and 21483?

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 21472 and 21483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21472 and 21483, than apply into the LCM equation.

GCF(21472,21483) = 11
LCM(21472,21483) = ( 21472 × 21483) / 11
LCM(21472,21483) = 461282976 / 11
LCM(21472,21483) = 41934816

Least Common Multiple (LCM) of 21472 and 21483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21472 and 21483. First we will calculate the prime factors of 21472 and 21483.

Prime Factorization of 21472

Prime Factorization of 21483

Now multiplying the highest exponent prime factors to calculate the LCM of 21472 and 21483.

LCM(21472,21483) = 2⁵ × 11¹ × 61¹ × 3² × 7¹ × 31¹
LCM(21472,21483) = 41934816