What is the Least Common Multiple of 21874 and 21888?

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 21874 and 21888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21874 and 21888, than apply into the LCM equation.

GCF(21874,21888) = 2
LCM(21874,21888) = ( 21874 × 21888) / 2
LCM(21874,21888) = 478778112 / 2
LCM(21874,21888) = 239389056

Least Common Multiple (LCM) of 21874 and 21888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21874 and 21888. First we will calculate the prime factors of 21874 and 21888.

Prime Factorization of 21874

Prime Factorization of 21888

Now multiplying the highest exponent prime factors to calculate the LCM of 21874 and 21888.

LCM(21874,21888) = 2⁷ × 10937¹ × 3² × 19¹
LCM(21874,21888) = 239389056