What is the Least Common Multiple of 41224 and 41239?

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 41224 and 41239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41224 and 41239, than apply into the LCM equation.

GCF(41224,41239) = 1
LCM(41224,41239) = ( 41224 × 41239) / 1
LCM(41224,41239) = 1700036536 / 1
LCM(41224,41239) = 1700036536

Least Common Multiple (LCM) of 41224 and 41239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41224 and 41239. First we will calculate the prime factors of 41224 and 41239.

Prime Factorization of 41224

Prime Factorization of 41239

Now multiplying the highest exponent prime factors to calculate the LCM of 41224 and 41239.

LCM(41224,41239) = 2³ × 5153¹ × 11¹ × 23¹ × 163¹
LCM(41224,41239) = 1700036536