What is the Least Common Multiple of 22048 and 22053?

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 22048 and 22053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22048 and 22053, than apply into the LCM equation.

GCF(22048,22053) = 1
LCM(22048,22053) = ( 22048 × 22053) / 1
LCM(22048,22053) = 486224544 / 1
LCM(22048,22053) = 486224544

Least Common Multiple (LCM) of 22048 and 22053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22048 and 22053. First we will calculate the prime factors of 22048 and 22053.

Prime Factorization of 22048

Prime Factorization of 22053

Now multiplying the highest exponent prime factors to calculate the LCM of 22048 and 22053.

LCM(22048,22053) = 2⁵ × 13¹ × 53¹ × 3¹ × 7351¹
LCM(22048,22053) = 486224544