What is the Least Common Multiple of 41074 and 41085?

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 41074 and 41085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41074 and 41085, than apply into the LCM equation.

GCF(41074,41085) = 11
LCM(41074,41085) = ( 41074 × 41085) / 11
LCM(41074,41085) = 1687525290 / 11
LCM(41074,41085) = 153411390

Least Common Multiple (LCM) of 41074 and 41085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41074 and 41085. First we will calculate the prime factors of 41074 and 41085.

Prime Factorization of 41074

Prime Factorization of 41085

Now multiplying the highest exponent prime factors to calculate the LCM of 41074 and 41085.

LCM(41074,41085) = 2¹ × 11¹ × 1867¹ × 3² × 5¹ × 83¹
LCM(41074,41085) = 153411390