What is the Least Common Multiple of 56231 and 56235?
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 56231 and 56235 is 3162150285.
LCM(56231,56235) = 3162150285
Least Common Multiple of 56231 and 56235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56231 and 56235, than apply into the LCM equation.
GCF(56231,56235) = 1
LCM(56231,56235) = ( 56231 × 56235) / 1
LCM(56231,56235) = 3162150285 / 1
LCM(56231,56235) = 3162150285
Least Common Multiple (LCM) of 56231 and 56235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56231 and 56235. First we will calculate the prime factors of 56231 and 56235.
Prime Factorization of 56231
Prime factors of 56231 are 7, 29, 277. Prime factorization of 56231 in exponential form is:
56231 = 71 × 291 × 2771
Prime Factorization of 56235
Prime factors of 56235 are 3, 5, 23, 163. Prime factorization of 56235 in exponential form is:
56235 = 31 × 51 × 231 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 56231 and 56235.
LCM(56231,56235) = 71 × 291 × 2771 × 31 × 51 × 231 × 1631
LCM(56231,56235) = 3162150285
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