What is the Least Common Multiple of 41208 and 41224?

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 41208 and 41224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41208 and 41224, than apply into the LCM equation.

GCF(41208,41224) = 8
LCM(41208,41224) = ( 41208 × 41224) / 8
LCM(41208,41224) = 1698758592 / 8
LCM(41208,41224) = 212344824

Least Common Multiple (LCM) of 41208 and 41224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41208 and 41224. First we will calculate the prime factors of 41208 and 41224.

Prime Factorization of 41208

Prime Factorization of 41224

Now multiplying the highest exponent prime factors to calculate the LCM of 41208 and 41224.

LCM(41208,41224) = 2³ × 3¹ × 17¹ × 101¹ × 5153¹
LCM(41208,41224) = 212344824