What is the Least Common Multiple of 92224 and 92238?

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 92224 and 92238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92224 and 92238, than apply into the LCM equation.

GCF(92224,92238) = 2
LCM(92224,92238) = ( 92224 × 92238) / 2
LCM(92224,92238) = 8506557312 / 2
LCM(92224,92238) = 4253278656

Least Common Multiple (LCM) of 92224 and 92238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92224 and 92238. First we will calculate the prime factors of 92224 and 92238.

Prime Factorization of 92224

Prime Factorization of 92238

Now multiplying the highest exponent prime factors to calculate the LCM of 92224 and 92238.

LCM(92224,92238) = 2⁶ × 11¹ × 131¹ × 3¹ × 15373¹
LCM(92224,92238) = 4253278656