What is the Least Common Multiple of 88320 and 88324?

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 88320 and 88324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88320 and 88324, than apply into the LCM equation.

GCF(88320,88324) = 4
LCM(88320,88324) = ( 88320 × 88324) / 4
LCM(88320,88324) = 7800775680 / 4
LCM(88320,88324) = 1950193920

Least Common Multiple (LCM) of 88320 and 88324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88320 and 88324. First we will calculate the prime factors of 88320 and 88324.

Prime Factorization of 88320

Prime Factorization of 88324

Now multiplying the highest exponent prime factors to calculate the LCM of 88320 and 88324.

LCM(88320,88324) = 2⁸ × 3¹ × 5¹ × 23¹ × 71¹ × 311¹
LCM(88320,88324) = 1950193920