What is the Least Common Multiple of 60559 and 60571?
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 60559 and 60571 is 3668119189.
LCM(60559,60571) = 3668119189
Least Common Multiple of 60559 and 60571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60559 and 60571, than apply into the LCM equation.
GCF(60559,60571) = 1
LCM(60559,60571) = ( 60559 × 60571) / 1
LCM(60559,60571) = 3668119189 / 1
LCM(60559,60571) = 3668119189
Least Common Multiple (LCM) of 60559 and 60571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60559 and 60571. First we will calculate the prime factors of 60559 and 60571.
Prime Factorization of 60559
Prime factors of 60559 are 23, 2633. Prime factorization of 60559 in exponential form is:
60559 = 231 × 26331
Prime Factorization of 60571
Prime factors of 60571 are 7, 17, 509. Prime factorization of 60571 in exponential form is:
60571 = 71 × 171 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 60559 and 60571.
LCM(60559,60571) = 231 × 26331 × 71 × 171 × 5091
LCM(60559,60571) = 3668119189
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