What is the Least Common Multiple of 88368 and 88372?

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 88368 and 88372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88368 and 88372, than apply into the LCM equation.

GCF(88368,88372) = 4
LCM(88368,88372) = ( 88368 × 88372) / 4
LCM(88368,88372) = 7809256896 / 4
LCM(88368,88372) = 1952314224

Least Common Multiple (LCM) of 88368 and 88372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88368 and 88372. First we will calculate the prime factors of 88368 and 88372.

Prime Factorization of 88368

Prime Factorization of 88372

Now multiplying the highest exponent prime factors to calculate the LCM of 88368 and 88372.

LCM(88368,88372) = 2⁴ × 3¹ × 7¹ × 263¹ × 22093¹
LCM(88368,88372) = 1952314224