What is the Least Common Multiple of 75005 and 75015?

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 75005 and 75015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75005 and 75015, than apply into the LCM equation.

GCF(75005,75015) = 5
LCM(75005,75015) = ( 75005 × 75015) / 5
LCM(75005,75015) = 5626500075 / 5
LCM(75005,75015) = 1125300015

Least Common Multiple (LCM) of 75005 and 75015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75005 and 75015. First we will calculate the prime factors of 75005 and 75015.

Prime Factorization of 75005

Prime Factorization of 75015

Now multiplying the highest exponent prime factors to calculate the LCM of 75005 and 75015.

LCM(75005,75015) = 5¹ × 7¹ × 2143¹ × 3² × 1667¹
LCM(75005,75015) = 1125300015