What is the Least Common Multiple of 59041 and 59046?
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 59041 and 59046 is 3486134886.
LCM(59041,59046) = 3486134886
Least Common Multiple of 59041 and 59046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59041 and 59046, than apply into the LCM equation.
GCF(59041,59046) = 1
LCM(59041,59046) = ( 59041 × 59046) / 1
LCM(59041,59046) = 3486134886 / 1
LCM(59041,59046) = 3486134886
Least Common Multiple (LCM) of 59041 and 59046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59041 and 59046. First we will calculate the prime factors of 59041 and 59046.
Prime Factorization of 59041
Prime factors of 59041 are 17, 23, 151. Prime factorization of 59041 in exponential form is:
59041 = 171 × 231 × 1511
Prime Factorization of 59046
Prime factors of 59046 are 2, 3, 13, 757. Prime factorization of 59046 in exponential form is:
59046 = 21 × 31 × 131 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 59041 and 59046.
LCM(59041,59046) = 171 × 231 × 1511 × 21 × 31 × 131 × 7571
LCM(59041,59046) = 3486134886
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