What is the Least Common Multiple of 56047 and 56058?
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 56047 and 56058 is 3141882726.
LCM(56047,56058) = 3141882726
Least Common Multiple of 56047 and 56058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56047 and 56058, than apply into the LCM equation.
GCF(56047,56058) = 1
LCM(56047,56058) = ( 56047 × 56058) / 1
LCM(56047,56058) = 3141882726 / 1
LCM(56047,56058) = 3141882726
Least Common Multiple (LCM) of 56047 and 56058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56047 and 56058. First we will calculate the prime factors of 56047 and 56058.
Prime Factorization of 56047
Prime factors of 56047 are 41, 1367. Prime factorization of 56047 in exponential form is:
56047 = 411 × 13671
Prime Factorization of 56058
Prime factors of 56058 are 2, 3, 9343. Prime factorization of 56058 in exponential form is:
56058 = 21 × 31 × 93431
Now multiplying the highest exponent prime factors to calculate the LCM of 56047 and 56058.
LCM(56047,56058) = 411 × 13671 × 21 × 31 × 93431
LCM(56047,56058) = 3141882726
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