What is the Least Common Multiple of 87792 and 87807?

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 87792 and 87807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87792 and 87807, than apply into the LCM equation.

GCF(87792,87807) = 3
LCM(87792,87807) = ( 87792 × 87807) / 3
LCM(87792,87807) = 7708752144 / 3
LCM(87792,87807) = 2569584048

Least Common Multiple (LCM) of 87792 and 87807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87792 and 87807. First we will calculate the prime factors of 87792 and 87807.

Prime Factorization of 87792

Prime Factorization of 87807

Now multiplying the highest exponent prime factors to calculate the LCM of 87792 and 87807.

LCM(87792,87807) = 2⁴ × 3¹ × 31¹ × 59¹ × 29269¹
LCM(87792,87807) = 2569584048