What is the Least Common Multiple of 4015 and 4029?

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 4015 and 4029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4015 and 4029, than apply into the LCM equation.

GCF(4015,4029) = 1
LCM(4015,4029) = ( 4015 × 4029) / 1
LCM(4015,4029) = 16176435 / 1
LCM(4015,4029) = 16176435

Least Common Multiple (LCM) of 4015 and 4029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4015 and 4029. First we will calculate the prime factors of 4015 and 4029.

Prime Factorization of 4015

Prime Factorization of 4029

Now multiplying the highest exponent prime factors to calculate the LCM of 4015 and 4029.

LCM(4015,4029) = 5¹ × 11¹ × 73¹ × 3¹ × 17¹ × 79¹
LCM(4015,4029) = 16176435