What is the Least Common Multiple of 87030 and 87041?

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 87030 and 87041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87030 and 87041, than apply into the LCM equation.

GCF(87030,87041) = 1
LCM(87030,87041) = ( 87030 × 87041) / 1
LCM(87030,87041) = 7575178230 / 1
LCM(87030,87041) = 7575178230

Least Common Multiple (LCM) of 87030 and 87041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87030 and 87041. First we will calculate the prime factors of 87030 and 87041.

Prime Factorization of 87030

Prime Factorization of 87041

Now multiplying the highest exponent prime factors to calculate the LCM of 87030 and 87041.

LCM(87030,87041) = 2¹ × 3² × 5¹ × 967¹ × 87041¹
LCM(87030,87041) = 7575178230