What is the Least Common Multiple of 56093 and 56102?
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 56093 and 56102 is 3146929486.
LCM(56093,56102) = 3146929486
Least Common Multiple of 56093 and 56102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56093 and 56102, than apply into the LCM equation.
GCF(56093,56102) = 1
LCM(56093,56102) = ( 56093 × 56102) / 1
LCM(56093,56102) = 3146929486 / 1
LCM(56093,56102) = 3146929486
Least Common Multiple (LCM) of 56093 and 56102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56093 and 56102. First we will calculate the prime factors of 56093 and 56102.
Prime Factorization of 56093
Prime factors of 56093 are 56093. Prime factorization of 56093 in exponential form is:
56093 = 560931
Prime Factorization of 56102
Prime factors of 56102 are 2, 28051. Prime factorization of 56102 in exponential form is:
56102 = 21 × 280511
Now multiplying the highest exponent prime factors to calculate the LCM of 56093 and 56102.
LCM(56093,56102) = 560931 × 21 × 280511
LCM(56093,56102) = 3146929486
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