What is the Least Common Multiple of 87019 and 87035?

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 87019 and 87035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87019 and 87035, than apply into the LCM equation.

GCF(87019,87035) = 1
LCM(87019,87035) = ( 87019 × 87035) / 1
LCM(87019,87035) = 7573698665 / 1
LCM(87019,87035) = 7573698665

Least Common Multiple (LCM) of 87019 and 87035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87019 and 87035. First we will calculate the prime factors of 87019 and 87035.

Prime Factorization of 87019

Prime Factorization of 87035

Now multiplying the highest exponent prime factors to calculate the LCM of 87019 and 87035.

LCM(87019,87035) = 173¹ × 503¹ × 5¹ × 13² × 103¹
LCM(87019,87035) = 7573698665