What is the Least Common Multiple of 24208 and 24224?

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 24208 and 24224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24208 and 24224, than apply into the LCM equation.

GCF(24208,24224) = 16
LCM(24208,24224) = ( 24208 × 24224) / 16
LCM(24208,24224) = 586414592 / 16
LCM(24208,24224) = 36650912

Least Common Multiple (LCM) of 24208 and 24224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24208 and 24224. First we will calculate the prime factors of 24208 and 24224.

Prime Factorization of 24208

Prime Factorization of 24224

Now multiplying the highest exponent prime factors to calculate the LCM of 24208 and 24224.

LCM(24208,24224) = 2⁵ × 17¹ × 89¹ × 757¹
LCM(24208,24224) = 36650912