What is the Least Common Multiple of 42047 and 42059?
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 42047 and 42059 is 1768454773.
LCM(42047,42059) = 1768454773
Least Common Multiple of 42047 and 42059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42047 and 42059, than apply into the LCM equation.
GCF(42047,42059) = 1
LCM(42047,42059) = ( 42047 × 42059) / 1
LCM(42047,42059) = 1768454773 / 1
LCM(42047,42059) = 1768454773
Least Common Multiple (LCM) of 42047 and 42059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42047 and 42059. First we will calculate the prime factors of 42047 and 42059.
Prime Factorization of 42047
Prime factors of 42047 are 19, 2213. Prime factorization of 42047 in exponential form is:
42047 = 191 × 22131
Prime Factorization of 42059
Prime factors of 42059 are 137, 307. Prime factorization of 42059 in exponential form is:
42059 = 1371 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 42047 and 42059.
LCM(42047,42059) = 191 × 22131 × 1371 × 3071
LCM(42047,42059) = 1768454773
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