What is the Least Common Multiple of 56573 and 56579?
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 56573 and 56579 is 3200843767.
LCM(56573,56579) = 3200843767
Least Common Multiple of 56573 and 56579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56573 and 56579, than apply into the LCM equation.
GCF(56573,56579) = 1
LCM(56573,56579) = ( 56573 × 56579) / 1
LCM(56573,56579) = 3200843767 / 1
LCM(56573,56579) = 3200843767
Least Common Multiple (LCM) of 56573 and 56579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56573 and 56579. First we will calculate the prime factors of 56573 and 56579.
Prime Factorization of 56573
Prime factors of 56573 are 11, 37, 139. Prime factorization of 56573 in exponential form is:
56573 = 111 × 371 × 1391
Prime Factorization of 56579
Prime factors of 56579 are 29, 1951. Prime factorization of 56579 in exponential form is:
56579 = 291 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 56573 and 56579.
LCM(56573,56579) = 111 × 371 × 1391 × 291 × 19511
LCM(56573,56579) = 3200843767
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