What is the Least Common Multiple of 7042 and 7049?

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 7042 and 7049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7042 and 7049, than apply into the LCM equation.

GCF(7042,7049) = 7
LCM(7042,7049) = ( 7042 × 7049) / 7
LCM(7042,7049) = 49639058 / 7
LCM(7042,7049) = 7091294

Least Common Multiple (LCM) of 7042 and 7049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7042 and 7049. First we will calculate the prime factors of 7042 and 7049.

Prime Factorization of 7042

Prime Factorization of 7049

Now multiplying the highest exponent prime factors to calculate the LCM of 7042 and 7049.

LCM(7042,7049) = 2¹ × 7¹ × 503¹ × 19¹ × 53¹
LCM(7042,7049) = 7091294