What is the Least Common Multiple of 57006 and 57015?

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 57006 and 57015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57006 and 57015, than apply into the LCM equation.

GCF(57006,57015) = 9
LCM(57006,57015) = ( 57006 × 57015) / 9
LCM(57006,57015) = 3250197090 / 9
LCM(57006,57015) = 361133010

Least Common Multiple (LCM) of 57006 and 57015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57006 and 57015. First we will calculate the prime factors of 57006 and 57015.

Prime Factorization of 57006

Prime Factorization of 57015

Now multiplying the highest exponent prime factors to calculate the LCM of 57006 and 57015.

LCM(57006,57015) = 2¹ × 3² × 3167¹ × 5¹ × 7¹ × 181¹
LCM(57006,57015) = 361133010