What is the Least Common Multiple of 7034 and 7038?

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 7034 and 7038 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 7038, than apply into the LCM equation.

GCF(7034,7038) = 2
LCM(7034,7038) = ( 7034 × 7038) / 2
LCM(7034,7038) = 49505292 / 2
LCM(7034,7038) = 24752646

Least Common Multiple (LCM) of 7034 and 7038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7034 and 7038. First we will calculate the prime factors of 7034 and 7038.

Prime Factorization of 7034

Prime Factorization of 7038

Now multiplying the highest exponent prime factors to calculate the LCM of 7034 and 7038.

LCM(7034,7038) = 2¹ × 3517¹ × 3² × 17¹ × 23¹
LCM(7034,7038) = 24752646