What is the Least Common Multiple of 92224 and 92236?

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 92236 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 92236, than apply into the LCM equation.

GCF(92224,92236) = 4
LCM(92224,92236) = ( 92224 × 92236) / 4
LCM(92224,92236) = 8506372864 / 4
LCM(92224,92236) = 2126593216

Least Common Multiple (LCM) of 92224 and 92236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92224 and 92236. First we will calculate the prime factors of 92224 and 92236.

Prime Factorization of 92224

Prime Factorization of 92236

Now multiplying the highest exponent prime factors to calculate the LCM of 92224 and 92236.

LCM(92224,92236) = 2⁶ × 11¹ × 131¹ × 23059¹
LCM(92224,92236) = 2126593216