What is the Least Common Multiple of 59410 and 59417?
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 59410 and 59417 is 3529963970.
LCM(59410,59417) = 3529963970
Least Common Multiple of 59410 and 59417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59410 and 59417, than apply into the LCM equation.
GCF(59410,59417) = 1
LCM(59410,59417) = ( 59410 × 59417) / 1
LCM(59410,59417) = 3529963970 / 1
LCM(59410,59417) = 3529963970
Least Common Multiple (LCM) of 59410 and 59417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59410 and 59417. First we will calculate the prime factors of 59410 and 59417.
Prime Factorization of 59410
Prime factors of 59410 are 2, 5, 13, 457. Prime factorization of 59410 in exponential form is:
59410 = 21 × 51 × 131 × 4571
Prime Factorization of 59417
Prime factors of 59417 are 59417. Prime factorization of 59417 in exponential form is:
59417 = 594171
Now multiplying the highest exponent prime factors to calculate the LCM of 59410 and 59417.
LCM(59410,59417) = 21 × 51 × 131 × 4571 × 594171
LCM(59410,59417) = 3529963970
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