What is the Least Common Multiple of 29007 and 29015?

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 29007 and 29015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29007 and 29015, than apply into the LCM equation.

GCF(29007,29015) = 1
LCM(29007,29015) = ( 29007 × 29015) / 1
LCM(29007,29015) = 841638105 / 1
LCM(29007,29015) = 841638105

Least Common Multiple (LCM) of 29007 and 29015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29015. First we will calculate the prime factors of 29007 and 29015.

Prime Factorization of 29007

Prime Factorization of 29015

Now multiplying the highest exponent prime factors to calculate the LCM of 29007 and 29015.

LCM(29007,29015) = 3² × 11¹ × 293¹ × 5¹ × 7¹ × 829¹
LCM(29007,29015) = 841638105