What is the Least Common Multiple of 87508 and 87514?

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 87508 and 87514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87508 and 87514, than apply into the LCM equation.

GCF(87508,87514) = 2
LCM(87508,87514) = ( 87508 × 87514) / 2
LCM(87508,87514) = 7658175112 / 2
LCM(87508,87514) = 3829087556

Least Common Multiple (LCM) of 87508 and 87514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87508 and 87514. First we will calculate the prime factors of 87508 and 87514.

Prime Factorization of 87508

Prime Factorization of 87514

Now multiplying the highest exponent prime factors to calculate the LCM of 87508 and 87514.

LCM(87508,87514) = 2² × 131¹ × 167¹ × 7² × 19¹ × 47¹
LCM(87508,87514) = 3829087556