What is the Least Common Multiple of 22032 and 22046?

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 22032 and 22046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22032 and 22046, than apply into the LCM equation.

GCF(22032,22046) = 2
LCM(22032,22046) = ( 22032 × 22046) / 2
LCM(22032,22046) = 485717472 / 2
LCM(22032,22046) = 242858736

Least Common Multiple (LCM) of 22032 and 22046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22032 and 22046. First we will calculate the prime factors of 22032 and 22046.

Prime Factorization of 22032

Prime Factorization of 22046

Now multiplying the highest exponent prime factors to calculate the LCM of 22032 and 22046.

LCM(22032,22046) = 2⁴ × 3⁴ × 17¹ × 73¹ × 151¹
LCM(22032,22046) = 242858736