What is the Least Common Multiple of 7015 and 7035?

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 7015 and 7035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7015 and 7035, than apply into the LCM equation.

GCF(7015,7035) = 5
LCM(7015,7035) = ( 7015 × 7035) / 5
LCM(7015,7035) = 49350525 / 5
LCM(7015,7035) = 9870105

Least Common Multiple (LCM) of 7015 and 7035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7015 and 7035. First we will calculate the prime factors of 7015 and 7035.

Prime Factorization of 7015

Prime Factorization of 7035

Now multiplying the highest exponent prime factors to calculate the LCM of 7015 and 7035.

LCM(7015,7035) = 5¹ × 23¹ × 61¹ × 3¹ × 7¹ × 67¹
LCM(7015,7035) = 9870105