What is the Least Common Multiple of 87019 and 87034?

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 87034 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 87034, than apply into the LCM equation.

GCF(87019,87034) = 1
LCM(87019,87034) = ( 87019 × 87034) / 1
LCM(87019,87034) = 7573611646 / 1
LCM(87019,87034) = 7573611646

Least Common Multiple (LCM) of 87019 and 87034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87019 and 87034. First we will calculate the prime factors of 87019 and 87034.

Prime Factorization of 87019

Prime Factorization of 87034

Now multiplying the highest exponent prime factors to calculate the LCM of 87019 and 87034.

LCM(87019,87034) = 173¹ × 503¹ × 2¹ × 43517¹
LCM(87019,87034) = 7573611646