What is the Least Common Multiple of 59406 and 59423?
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 59406 and 59423 is 3530082738.
LCM(59406,59423) = 3530082738
Least Common Multiple of 59406 and 59423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59406 and 59423, than apply into the LCM equation.
GCF(59406,59423) = 1
LCM(59406,59423) = ( 59406 × 59423) / 1
LCM(59406,59423) = 3530082738 / 1
LCM(59406,59423) = 3530082738
Least Common Multiple (LCM) of 59406 and 59423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59406 and 59423. First we will calculate the prime factors of 59406 and 59423.
Prime Factorization of 59406
Prime factors of 59406 are 2, 3, 9901. Prime factorization of 59406 in exponential form is:
59406 = 21 × 31 × 99011
Prime Factorization of 59423
Prime factors of 59423 are 7, 13, 653. Prime factorization of 59423 in exponential form is:
59423 = 71 × 131 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 59406 and 59423.
LCM(59406,59423) = 21 × 31 × 99011 × 71 × 131 × 6531
LCM(59406,59423) = 3530082738
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