What is the Least Common Multiple of 56573 and 56590?
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 56590 is 3201466070.
LCM(56573,56590) = 3201466070
Least Common Multiple of 56573 and 56590 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 56590, than apply into the LCM equation.
GCF(56573,56590) = 1
LCM(56573,56590) = ( 56573 × 56590) / 1
LCM(56573,56590) = 3201466070 / 1
LCM(56573,56590) = 3201466070
Least Common Multiple (LCM) of 56573 and 56590 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56573 and 56590. First we will calculate the prime factors of 56573 and 56590.
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 56590
Prime factors of 56590 are 2, 5, 5659. Prime factorization of 56590 in exponential form is:
56590 = 21 × 51 × 56591
Now multiplying the highest exponent prime factors to calculate the LCM of 56573 and 56590.
LCM(56573,56590) = 111 × 371 × 1391 × 21 × 51 × 56591
LCM(56573,56590) = 3201466070
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