What is the Least Common Multiple of 22232 and 22240?

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 22232 and 22240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22232 and 22240, than apply into the LCM equation.

GCF(22232,22240) = 8
LCM(22232,22240) = ( 22232 × 22240) / 8
LCM(22232,22240) = 494439680 / 8
LCM(22232,22240) = 61804960

Least Common Multiple (LCM) of 22232 and 22240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22232 and 22240. First we will calculate the prime factors of 22232 and 22240.

Prime Factorization of 22232

Prime Factorization of 22240

Now multiplying the highest exponent prime factors to calculate the LCM of 22232 and 22240.

LCM(22232,22240) = 2⁵ × 7¹ × 397¹ × 5¹ × 139¹
LCM(22232,22240) = 61804960