What is the Least Common Multiple of 59047 and 59067?
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 59047 and 59067 is 3487729149.
LCM(59047,59067) = 3487729149
Least Common Multiple of 59047 and 59067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59047 and 59067, than apply into the LCM equation.
GCF(59047,59067) = 1
LCM(59047,59067) = ( 59047 × 59067) / 1
LCM(59047,59067) = 3487729149 / 1
LCM(59047,59067) = 3487729149
Least Common Multiple (LCM) of 59047 and 59067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59047 and 59067. First we will calculate the prime factors of 59047 and 59067.
Prime Factorization of 59047
Prime factors of 59047 are 137, 431. Prime factorization of 59047 in exponential form is:
59047 = 1371 × 4311
Prime Factorization of 59067
Prime factors of 59067 are 3, 6563. Prime factorization of 59067 in exponential form is:
59067 = 32 × 65631
Now multiplying the highest exponent prime factors to calculate the LCM of 59047 and 59067.
LCM(59047,59067) = 1371 × 4311 × 32 × 65631
LCM(59047,59067) = 3487729149
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