What is the Least Common Multiple of 87546 and 87557?

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 87546 and 87557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87546 and 87557, than apply into the LCM equation.

GCF(87546,87557) = 1
LCM(87546,87557) = ( 87546 × 87557) / 1
LCM(87546,87557) = 7665265122 / 1
LCM(87546,87557) = 7665265122

Least Common Multiple (LCM) of 87546 and 87557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87546 and 87557. First we will calculate the prime factors of 87546 and 87557.

Prime Factorization of 87546

Prime Factorization of 87557

Now multiplying the highest exponent prime factors to calculate the LCM of 87546 and 87557.

LCM(87546,87557) = 2¹ × 3¹ × 14591¹ × 87557¹
LCM(87546,87557) = 7665265122