What is the Least Common Multiple of 22629 and 22648?

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 22629 and 22648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22629 and 22648, than apply into the LCM equation.

GCF(22629,22648) = 19
LCM(22629,22648) = ( 22629 × 22648) / 19
LCM(22629,22648) = 512501592 / 19
LCM(22629,22648) = 26973768

Least Common Multiple (LCM) of 22629 and 22648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22629 and 22648. First we will calculate the prime factors of 22629 and 22648.

Prime Factorization of 22629

Prime Factorization of 22648

Now multiplying the highest exponent prime factors to calculate the LCM of 22629 and 22648.

LCM(22629,22648) = 3¹ × 19¹ × 397¹ × 2³ × 149¹
LCM(22629,22648) = 26973768