What is the Least Common Multiple of 21249 and 21255?

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 21249 and 21255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21249 and 21255, than apply into the LCM equation.

GCF(21249,21255) = 3
LCM(21249,21255) = ( 21249 × 21255) / 3
LCM(21249,21255) = 451647495 / 3
LCM(21249,21255) = 150549165

Least Common Multiple (LCM) of 21249 and 21255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21249 and 21255. First we will calculate the prime factors of 21249 and 21255.

Prime Factorization of 21249

Prime Factorization of 21255

Now multiplying the highest exponent prime factors to calculate the LCM of 21249 and 21255.

LCM(21249,21255) = 3³ × 787¹ × 5¹ × 13¹ × 109¹
LCM(21249,21255) = 150549165