What is the Least Common Multiple of 22040 and 22048?

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 22040 and 22048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22040 and 22048, than apply into the LCM equation.

GCF(22040,22048) = 8
LCM(22040,22048) = ( 22040 × 22048) / 8
LCM(22040,22048) = 485937920 / 8
LCM(22040,22048) = 60742240

Least Common Multiple (LCM) of 22040 and 22048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22040 and 22048. First we will calculate the prime factors of 22040 and 22048.

Prime Factorization of 22040

Prime Factorization of 22048

Now multiplying the highest exponent prime factors to calculate the LCM of 22040 and 22048.

LCM(22040,22048) = 2⁵ × 5¹ × 19¹ × 29¹ × 13¹ × 53¹
LCM(22040,22048) = 60742240