GCF and LCM Calculator Logo

What is the Least Common Multiple of 41084 and 41094?

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 (LCM) of 41084 and 41094 is 844152948.

LCM(41084,41094) = 844152948

LCM Calculator and
and

Least Common Multiple of 41084 and 41094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41084 and 41094, than apply into the LCM equation.

GCF(41084,41094) = 2
LCM(41084,41094) = ( 41084 × 41094) / 2
LCM(41084,41094) = 1688305896 / 2
LCM(41084,41094) = 844152948

Least Common Multiple (LCM) of 41084 and 41094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41084 and 41094. First we will calculate the prime factors of 41084 and 41094.

Prime Factorization of 41084

Prime factors of 41084 are 2, 10271. Prime factorization of 41084 in exponential form is:

41084 = 22 × 102711

Prime Factorization of 41094

Prime factors of 41094 are 2, 3, 761. Prime factorization of 41094 in exponential form is:

41094 = 21 × 33 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 41084 and 41094.

LCM(41084,41094) = 22 × 102711 × 33 × 7611
LCM(41084,41094) = 844152948