What is the Least Common Multiple of 88785 and 88800?

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 88785 and 88800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88785 and 88800, than apply into the LCM equation.

GCF(88785,88800) = 15
LCM(88785,88800) = ( 88785 × 88800) / 15
LCM(88785,88800) = 7884108000 / 15
LCM(88785,88800) = 525607200

Least Common Multiple (LCM) of 88785 and 88800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88785 and 88800. First we will calculate the prime factors of 88785 and 88800.

Prime Factorization of 88785

Prime Factorization of 88800

Now multiplying the highest exponent prime factors to calculate the LCM of 88785 and 88800.

LCM(88785,88800) = 3² × 5² × 1973¹ × 2⁵ × 37¹
LCM(88785,88800) = 525607200