What is the Least Common Multiple of 56357 and 56373?
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 56357 and 56373 is 3177013161.
LCM(56357,56373) = 3177013161
Least Common Multiple of 56357 and 56373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56357 and 56373, than apply into the LCM equation.
GCF(56357,56373) = 1
LCM(56357,56373) = ( 56357 × 56373) / 1
LCM(56357,56373) = 3177013161 / 1
LCM(56357,56373) = 3177013161
Least Common Multiple (LCM) of 56357 and 56373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56357 and 56373. First we will calculate the prime factors of 56357 and 56373.
Prime Factorization of 56357
Prime factors of 56357 are 7, 83, 97. Prime factorization of 56357 in exponential form is:
56357 = 71 × 831 × 971
Prime Factorization of 56373
Prime factors of 56373 are 3, 19, 23, 43. Prime factorization of 56373 in exponential form is:
56373 = 31 × 191 × 231 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 56357 and 56373.
LCM(56357,56373) = 71 × 831 × 971 × 31 × 191 × 231 × 431
LCM(56357,56373) = 3177013161
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