What is the Least Common Multiple of 36433 and 36446?
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 36433 and 36446 is 1327837118.
LCM(36433,36446) = 1327837118
Least Common Multiple of 36433 and 36446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36433 and 36446, than apply into the LCM equation.
GCF(36433,36446) = 1
LCM(36433,36446) = ( 36433 × 36446) / 1
LCM(36433,36446) = 1327837118 / 1
LCM(36433,36446) = 1327837118
Least Common Multiple (LCM) of 36433 and 36446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36433 and 36446. First we will calculate the prime factors of 36433 and 36446.
Prime Factorization of 36433
Prime factors of 36433 are 36433. Prime factorization of 36433 in exponential form is:
36433 = 364331
Prime Factorization of 36446
Prime factors of 36446 are 2, 18223. Prime factorization of 36446 in exponential form is:
36446 = 21 × 182231
Now multiplying the highest exponent prime factors to calculate the LCM of 36433 and 36446.
LCM(36433,36446) = 364331 × 21 × 182231
LCM(36433,36446) = 1327837118
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