What is the Least Common Multiple of 89052 and 89071?

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 89052 and 89071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89052 and 89071, than apply into the LCM equation.

GCF(89052,89071) = 1
LCM(89052,89071) = ( 89052 × 89071) / 1
LCM(89052,89071) = 7931950692 / 1
LCM(89052,89071) = 7931950692

Least Common Multiple (LCM) of 89052 and 89071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89052 and 89071. First we will calculate the prime factors of 89052 and 89071.

Prime Factorization of 89052

Prime Factorization of 89071

Now multiplying the highest exponent prime factors to calculate the LCM of 89052 and 89071.

LCM(89052,89071) = 2² × 3¹ × 41¹ × 181¹ × 89071¹
LCM(89052,89071) = 7931950692