What is the Least Common Multiple of 74010 and 74015?

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 74010 and 74015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74010 and 74015, than apply into the LCM equation.

GCF(74010,74015) = 5
LCM(74010,74015) = ( 74010 × 74015) / 5
LCM(74010,74015) = 5477850150 / 5
LCM(74010,74015) = 1095570030

Least Common Multiple (LCM) of 74010 and 74015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74010 and 74015. First we will calculate the prime factors of 74010 and 74015.

Prime Factorization of 74010

Prime Factorization of 74015

Now multiplying the highest exponent prime factors to calculate the LCM of 74010 and 74015.

LCM(74010,74015) = 2¹ × 3¹ × 5¹ × 2467¹ × 113¹ × 131¹
LCM(74010,74015) = 1095570030