What is the Least Common Multiple of 88192 and 88200?

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 88192 and 88200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88192 and 88200, than apply into the LCM equation.

GCF(88192,88200) = 8
LCM(88192,88200) = ( 88192 × 88200) / 8
LCM(88192,88200) = 7778534400 / 8
LCM(88192,88200) = 972316800

Least Common Multiple (LCM) of 88192 and 88200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88192 and 88200. First we will calculate the prime factors of 88192 and 88200.

Prime Factorization of 88192

Prime Factorization of 88200

Now multiplying the highest exponent prime factors to calculate the LCM of 88192 and 88200.

LCM(88192,88200) = 2⁷ × 13¹ × 53¹ × 3² × 5² × 7²
LCM(88192,88200) = 972316800