What is the Least Common Multiple of 41038 and 41052?

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 41038 and 41052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41038 and 41052, than apply into the LCM equation.

GCF(41038,41052) = 2
LCM(41038,41052) = ( 41038 × 41052) / 2
LCM(41038,41052) = 1684691976 / 2
LCM(41038,41052) = 842345988

Least Common Multiple (LCM) of 41038 and 41052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41038 and 41052. First we will calculate the prime factors of 41038 and 41052.

Prime Factorization of 41038

Prime Factorization of 41052

Now multiplying the highest exponent prime factors to calculate the LCM of 41038 and 41052.

LCM(41038,41052) = 2² × 17² × 71¹ × 3¹ × 11¹ × 311¹
LCM(41038,41052) = 842345988