What is the Least Common Multiple of 41224 and 41242?

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 41242 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 41242, than apply into the LCM equation.

GCF(41224,41242) = 2
LCM(41224,41242) = ( 41224 × 41242) / 2
LCM(41224,41242) = 1700160208 / 2
LCM(41224,41242) = 850080104

Least Common Multiple (LCM) of 41224 and 41242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41224 and 41242. First we will calculate the prime factors of 41224 and 41242.

Prime Factorization of 41224

Prime Factorization of 41242

Now multiplying the highest exponent prime factors to calculate the LCM of 41224 and 41242.

LCM(41224,41242) = 2³ × 5153¹ × 17¹ × 1213¹
LCM(41224,41242) = 850080104