GCF and LCM Calculator Logo

What is the Least Common Multiple of 7007 and 7026?

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 7007 and 7026 is 49231182.

LCM(7007,7026) = 49231182

LCM Calculator and
and

Least Common Multiple of 7007 and 7026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7007 and 7026, than apply into the LCM equation.

GCF(7007,7026) = 1
LCM(7007,7026) = ( 7007 × 7026) / 1
LCM(7007,7026) = 49231182 / 1
LCM(7007,7026) = 49231182

Least Common Multiple (LCM) of 7007 and 7026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7007 and 7026. First we will calculate the prime factors of 7007 and 7026.

Prime Factorization of 7007

Prime factors of 7007 are 7, 11, 13. Prime factorization of 7007 in exponential form is:

7007 = 72 × 111 × 131

Prime Factorization of 7026

Prime factors of 7026 are 2, 3, 1171. Prime factorization of 7026 in exponential form is:

7026 = 21 × 31 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 7007 and 7026.

LCM(7007,7026) = 72 × 111 × 131 × 21 × 31 × 11711
LCM(7007,7026) = 49231182