What is the Least Common Multiple of 88485 and 88505?

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 88485 and 88505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88485 and 88505, than apply into the LCM equation.

GCF(88485,88505) = 5
LCM(88485,88505) = ( 88485 × 88505) / 5
LCM(88485,88505) = 7831364925 / 5
LCM(88485,88505) = 1566272985

Least Common Multiple (LCM) of 88485 and 88505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88485 and 88505. First we will calculate the prime factors of 88485 and 88505.

Prime Factorization of 88485

Prime Factorization of 88505

Now multiplying the highest exponent prime factors to calculate the LCM of 88485 and 88505.

LCM(88485,88505) = 3¹ × 5¹ × 17¹ × 347¹ × 31¹ × 571¹
LCM(88485,88505) = 1566272985