What is the Least Common Multiple of 34008 and 34027?

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 34008 and 34027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34008 and 34027, than apply into the LCM equation.

GCF(34008,34027) = 1
LCM(34008,34027) = ( 34008 × 34027) / 1
LCM(34008,34027) = 1157190216 / 1
LCM(34008,34027) = 1157190216

Least Common Multiple (LCM) of 34008 and 34027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34008 and 34027. First we will calculate the prime factors of 34008 and 34027.

Prime Factorization of 34008

Prime Factorization of 34027

Now multiplying the highest exponent prime factors to calculate the LCM of 34008 and 34027.

LCM(34008,34027) = 2³ × 3¹ × 13¹ × 109¹ × 7¹ × 4861¹
LCM(34008,34027) = 1157190216