What is the Least Common Multiple of 87546 and 87565?

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 87565 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 87565, than apply into the LCM equation.

GCF(87546,87565) = 1
LCM(87546,87565) = ( 87546 × 87565) / 1
LCM(87546,87565) = 7665965490 / 1
LCM(87546,87565) = 7665965490

Least Common Multiple (LCM) of 87546 and 87565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87546 and 87565. First we will calculate the prime factors of 87546 and 87565.

Prime Factorization of 87546

Prime Factorization of 87565

Now multiplying the highest exponent prime factors to calculate the LCM of 87546 and 87565.

LCM(87546,87565) = 2¹ × 3¹ × 14591¹ × 5¹ × 83¹ × 211¹
LCM(87546,87565) = 7665965490