What is the Least Common Multiple of 56437 and 56446?
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 56437 and 56446 is 3185642902.
LCM(56437,56446) = 3185642902
Least Common Multiple of 56437 and 56446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56437 and 56446, than apply into the LCM equation.
GCF(56437,56446) = 1
LCM(56437,56446) = ( 56437 × 56446) / 1
LCM(56437,56446) = 3185642902 / 1
LCM(56437,56446) = 3185642902
Least Common Multiple (LCM) of 56437 and 56446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56437 and 56446. First we will calculate the prime factors of 56437 and 56446.
Prime Factorization of 56437
Prime factors of 56437 are 56437. Prime factorization of 56437 in exponential form is:
56437 = 564371
Prime Factorization of 56446
Prime factors of 56446 are 2, 13, 167. Prime factorization of 56446 in exponential form is:
56446 = 21 × 132 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 56437 and 56446.
LCM(56437,56446) = 564371 × 21 × 132 × 1671
LCM(56437,56446) = 3185642902
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Related Least Common Multiples of 56446
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