What is the Least Common Multiple of 87523 and 87543?

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 87523 and 87543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87523 and 87543, than apply into the LCM equation.

GCF(87523,87543) = 1
LCM(87523,87543) = ( 87523 × 87543) / 1
LCM(87523,87543) = 7662025989 / 1
LCM(87523,87543) = 7662025989

Least Common Multiple (LCM) of 87523 and 87543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87523 and 87543. First we will calculate the prime factors of 87523 and 87543.

Prime Factorization of 87523

Prime Factorization of 87543

Now multiplying the highest exponent prime factors to calculate the LCM of 87523 and 87543.

LCM(87523,87543) = 87523¹ × 3² × 71¹ × 137¹
LCM(87523,87543) = 7662025989