GCF and LCM Calculator Logo

What is the Least Common Multiple of 7034 and 7043?

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 7034 and 7043 is 49540462.

LCM(7034,7043) = 49540462

LCM Calculator and
and

Least Common Multiple of 7034 and 7043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7034 and 7043, than apply into the LCM equation.

GCF(7034,7043) = 1
LCM(7034,7043) = ( 7034 × 7043) / 1
LCM(7034,7043) = 49540462 / 1
LCM(7034,7043) = 49540462

Least Common Multiple (LCM) of 7034 and 7043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7034 and 7043. First we will calculate the prime factors of 7034 and 7043.

Prime Factorization of 7034

Prime factors of 7034 are 2, 3517. Prime factorization of 7034 in exponential form is:

7034 = 21 × 35171

Prime Factorization of 7043

Prime factors of 7043 are 7043. Prime factorization of 7043 in exponential form is:

7043 = 70431

Now multiplying the highest exponent prime factors to calculate the LCM of 7034 and 7043.

LCM(7034,7043) = 21 × 35171 × 70431
LCM(7034,7043) = 49540462