What is the Least Common Multiple of 17228 and 17244?

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 17228 and 17244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17228 and 17244, than apply into the LCM equation.

GCF(17228,17244) = 4
LCM(17228,17244) = ( 17228 × 17244) / 4
LCM(17228,17244) = 297079632 / 4
LCM(17228,17244) = 74269908

Least Common Multiple (LCM) of 17228 and 17244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17228 and 17244. First we will calculate the prime factors of 17228 and 17244.

Prime Factorization of 17228

Prime Factorization of 17244

Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17244.

LCM(17228,17244) = 2² × 59¹ × 73¹ × 3² × 479¹
LCM(17228,17244) = 74269908