What is the Least Common Multiple of 92236 and 92256?
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 (LCM) of 92236 and 92256 is 2127331104.
LCM(92236,92256) = 2127331104
Least Common Multiple of 92236 and 92256 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92236 and 92256, than apply into the LCM equation.
GCF(92236,92256) = 4
LCM(92236,92256) = ( 92236 × 92256) / 4
LCM(92236,92256) = 8509324416 / 4
LCM(92236,92256) = 2127331104
Least Common Multiple (LCM) of 92236 and 92256 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92236 and 92256. First we will calculate the prime factors of 92236 and 92256.
Prime Factorization of 92236
Prime factors of 92236 are 2, 23059. Prime factorization of 92236 in exponential form is:
92236 = 22 × 230591
Prime Factorization of 92256
Prime factors of 92256 are 2, 3, 31. Prime factorization of 92256 in exponential form is:
92256 = 25 × 31 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 92236 and 92256.
LCM(92236,92256) = 25 × 230591 × 31 × 312
LCM(92236,92256) = 2127331104
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