What is the Least Common Multiple of 87792 and 87805?

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 87805 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 87805, than apply into the LCM equation.

GCF(87792,87805) = 1
LCM(87792,87805) = ( 87792 × 87805) / 1
LCM(87792,87805) = 7708576560 / 1
LCM(87792,87805) = 7708576560

Least Common Multiple (LCM) of 87792 and 87805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87792 and 87805. First we will calculate the prime factors of 87792 and 87805.

Prime Factorization of 87792

Prime Factorization of 87805

Now multiplying the highest exponent prime factors to calculate the LCM of 87792 and 87805.

LCM(87792,87805) = 2⁴ × 3¹ × 31¹ × 59¹ × 5¹ × 17¹ × 1033¹
LCM(87792,87805) = 7708576560