What is the Least Common Multiple of 88760 and 88767?

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 88760 and 88767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88760 and 88767, than apply into the LCM equation.

GCF(88760,88767) = 7
LCM(88760,88767) = ( 88760 × 88767) / 7
LCM(88760,88767) = 7878958920 / 7
LCM(88760,88767) = 1125565560

Least Common Multiple (LCM) of 88760 and 88767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88760 and 88767. First we will calculate the prime factors of 88760 and 88767.

Prime Factorization of 88760

Prime Factorization of 88767

Now multiplying the highest exponent prime factors to calculate the LCM of 88760 and 88767.

LCM(88760,88767) = 2³ × 5¹ × 7¹ × 317¹ × 3² × 1409¹
LCM(88760,88767) = 1125565560