What is the Least Common Multiple of 16560 and 16577?
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 16560 and 16577 is 274515120.
LCM(16560,16577) = 274515120
Least Common Multiple of 16560 and 16577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16560 and 16577, than apply into the LCM equation.
GCF(16560,16577) = 1
LCM(16560,16577) = ( 16560 × 16577) / 1
LCM(16560,16577) = 274515120 / 1
LCM(16560,16577) = 274515120
Least Common Multiple (LCM) of 16560 and 16577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16560 and 16577. First we will calculate the prime factors of 16560 and 16577.
Prime Factorization of 16560
Prime factors of 16560 are 2, 3, 5, 23. Prime factorization of 16560 in exponential form is:
16560 = 24 × 32 × 51 × 231
Prime Factorization of 16577
Prime factors of 16577 are 11, 137. Prime factorization of 16577 in exponential form is:
16577 = 112 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 16560 and 16577.
LCM(16560,16577) = 24 × 32 × 51 × 231 × 112 × 1371
LCM(16560,16577) = 274515120
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