What is the Least Common Multiple of 56113 and 56124?
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 56113 and 56124 is 3149286012.
LCM(56113,56124) = 3149286012
Least Common Multiple of 56113 and 56124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56113 and 56124, than apply into the LCM equation.
GCF(56113,56124) = 1
LCM(56113,56124) = ( 56113 × 56124) / 1
LCM(56113,56124) = 3149286012 / 1
LCM(56113,56124) = 3149286012
Least Common Multiple (LCM) of 56113 and 56124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56113 and 56124. First we will calculate the prime factors of 56113 and 56124.
Prime Factorization of 56113
Prime factors of 56113 are 56113. Prime factorization of 56113 in exponential form is:
56113 = 561131
Prime Factorization of 56124
Prime factors of 56124 are 2, 3, 1559. Prime factorization of 56124 in exponential form is:
56124 = 22 × 32 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 56113 and 56124.
LCM(56113,56124) = 561131 × 22 × 32 × 15591
LCM(56113,56124) = 3149286012
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