What is the Least Common Multiple of 88768 and 88785?

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 88768 and 88785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88768 and 88785, than apply into the LCM equation.

GCF(88768,88785) = 1
LCM(88768,88785) = ( 88768 × 88785) / 1
LCM(88768,88785) = 7881266880 / 1
LCM(88768,88785) = 7881266880

Least Common Multiple (LCM) of 88768 and 88785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88768 and 88785. First we will calculate the prime factors of 88768 and 88785.

Prime Factorization of 88768

Prime Factorization of 88785

Now multiplying the highest exponent prime factors to calculate the LCM of 88768 and 88785.

LCM(88768,88785) = 2⁶ × 19¹ × 73¹ × 3² × 5¹ × 1973¹
LCM(88768,88785) = 7881266880