GCF and LCM Calculator Logo

What is the Least Common Multiple of 7081 and 7094?

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 7081 and 7094 is 50232614.

LCM(7081,7094) = 50232614

LCM Calculator and
and

Least Common Multiple of 7081 and 7094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7094, than apply into the LCM equation.

GCF(7081,7094) = 1
LCM(7081,7094) = ( 7081 × 7094) / 1
LCM(7081,7094) = 50232614 / 1
LCM(7081,7094) = 50232614

Least Common Multiple (LCM) of 7081 and 7094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7094. First we will calculate the prime factors of 7081 and 7094.

Prime Factorization of 7081

Prime factors of 7081 are 73, 97. Prime factorization of 7081 in exponential form is:

7081 = 731 × 971

Prime Factorization of 7094

Prime factors of 7094 are 2, 3547. Prime factorization of 7094 in exponential form is:

7094 = 21 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7094.

LCM(7081,7094) = 731 × 971 × 21 × 35471
LCM(7081,7094) = 50232614