What is the Least Common Multiple of 59075 and 59080?
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 59075 and 59080 is 698030200.
LCM(59075,59080) = 698030200
Least Common Multiple of 59075 and 59080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59075 and 59080, than apply into the LCM equation.
GCF(59075,59080) = 5
LCM(59075,59080) = ( 59075 × 59080) / 5
LCM(59075,59080) = 3490151000 / 5
LCM(59075,59080) = 698030200
Least Common Multiple (LCM) of 59075 and 59080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59075 and 59080. First we will calculate the prime factors of 59075 and 59080.
Prime Factorization of 59075
Prime factors of 59075 are 5, 17, 139. Prime factorization of 59075 in exponential form is:
59075 = 52 × 171 × 1391
Prime Factorization of 59080
Prime factors of 59080 are 2, 5, 7, 211. Prime factorization of 59080 in exponential form is:
59080 = 23 × 51 × 71 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 59075 and 59080.
LCM(59075,59080) = 52 × 171 × 1391 × 23 × 71 × 2111
LCM(59075,59080) = 698030200
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