What is the Least Common Multiple of 56573 and 56592?
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 56592 is 3201579216.
LCM(56573,56592) = 3201579216
Least Common Multiple of 56573 and 56592 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 56592, than apply into the LCM equation.
GCF(56573,56592) = 1
LCM(56573,56592) = ( 56573 × 56592) / 1
LCM(56573,56592) = 3201579216 / 1
LCM(56573,56592) = 3201579216
Least Common Multiple (LCM) of 56573 and 56592 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56573 and 56592. First we will calculate the prime factors of 56573 and 56592.
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 56592
Prime factors of 56592 are 2, 3, 131. Prime factorization of 56592 in exponential form is:
56592 = 24 × 33 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 56573 and 56592.
LCM(56573,56592) = 111 × 371 × 1391 × 24 × 33 × 1311
LCM(56573,56592) = 3201579216
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