What is the Least Common Multiple of 41045 and 41062?

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 41045 and 41062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41045 and 41062, than apply into the LCM equation.

GCF(41045,41062) = 1
LCM(41045,41062) = ( 41045 × 41062) / 1
LCM(41045,41062) = 1685389790 / 1
LCM(41045,41062) = 1685389790

Least Common Multiple (LCM) of 41045 and 41062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41045 and 41062. First we will calculate the prime factors of 41045 and 41062.

Prime Factorization of 41045

Prime Factorization of 41062

Now multiplying the highest exponent prime factors to calculate the LCM of 41045 and 41062.

LCM(41045,41062) = 5¹ × 8209¹ × 2¹ × 7² × 419¹
LCM(41045,41062) = 1685389790