What is the Least Common Multiple of 560 and 577?
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 560 and 577 is 323120.
LCM(560,577) = 323120
Least Common Multiple of 560 and 577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 560 and 577, than apply into the LCM equation.
GCF(560,577) = 1
LCM(560,577) = ( 560 × 577) / 1
LCM(560,577) = 323120 / 1
LCM(560,577) = 323120
Least Common Multiple (LCM) of 560 and 577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 577. First we will calculate the prime factors of 560 and 577.
Prime Factorization of 560
Prime factors of 560 are 2, 5, 7. Prime factorization of 560 in exponential form is:
560 = 24 × 51 × 71
Prime Factorization of 577
Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:
577 = 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 560 and 577.
LCM(560,577) = 24 × 51 × 71 × 5771
LCM(560,577) = 323120
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