What is the Least Common Multiple of 89487 and 89507?

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 89487 and 89507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89487 and 89507, than apply into the LCM equation.

GCF(89487,89507) = 1
LCM(89487,89507) = ( 89487 × 89507) / 1
LCM(89487,89507) = 8009712909 / 1
LCM(89487,89507) = 8009712909

Least Common Multiple (LCM) of 89487 and 89507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89487 and 89507. First we will calculate the prime factors of 89487 and 89507.

Prime Factorization of 89487

Prime Factorization of 89507

Now multiplying the highest exponent prime factors to calculate the LCM of 89487 and 89507.

LCM(89487,89507) = 3² × 61¹ × 163¹ × 11¹ × 79¹ × 103¹
LCM(89487,89507) = 8009712909