What is the Least Common Multiple of 41262 and 41275?

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 41262 and 41275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41262 and 41275, than apply into the LCM equation.

GCF(41262,41275) = 13
LCM(41262,41275) = ( 41262 × 41275) / 13
LCM(41262,41275) = 1703089050 / 13
LCM(41262,41275) = 131006850

Least Common Multiple (LCM) of 41262 and 41275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41262 and 41275. First we will calculate the prime factors of 41262 and 41275.

Prime Factorization of 41262

Prime Factorization of 41275

Now multiplying the highest exponent prime factors to calculate the LCM of 41262 and 41275.

LCM(41262,41275) = 2¹ × 3¹ × 13¹ × 23² × 5² × 127¹
LCM(41262,41275) = 131006850