What is the Least Common Multiple of 88185 and 88192?

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 88185 and 88192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88185 and 88192, than apply into the LCM equation.

GCF(88185,88192) = 1
LCM(88185,88192) = ( 88185 × 88192) / 1
LCM(88185,88192) = 7777211520 / 1
LCM(88185,88192) = 7777211520

Least Common Multiple (LCM) of 88185 and 88192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88185 and 88192. First we will calculate the prime factors of 88185 and 88192.

Prime Factorization of 88185

Prime Factorization of 88192

Now multiplying the highest exponent prime factors to calculate the LCM of 88185 and 88192.

LCM(88185,88192) = 3¹ × 5¹ × 5879¹ × 2⁷ × 13¹ × 53¹
LCM(88185,88192) = 7777211520