What is the Least Common Multiple of 87514 and 87533?

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 87514 and 87533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87514 and 87533, than apply into the LCM equation.

GCF(87514,87533) = 19
LCM(87514,87533) = ( 87514 × 87533) / 19
LCM(87514,87533) = 7660362962 / 19
LCM(87514,87533) = 403176998

Least Common Multiple (LCM) of 87514 and 87533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87514 and 87533. First we will calculate the prime factors of 87514 and 87533.

Prime Factorization of 87514

Prime Factorization of 87533

Now multiplying the highest exponent prime factors to calculate the LCM of 87514 and 87533.

LCM(87514,87533) = 2¹ × 7² × 19¹ × 47¹ × 17¹ × 271¹
LCM(87514,87533) = 403176998