What is the Least Common Multiple of 56148 and 56163?
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 56148 and 56163 is 1051146708.
LCM(56148,56163) = 1051146708
Least Common Multiple of 56148 and 56163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56148 and 56163, than apply into the LCM equation.
GCF(56148,56163) = 3
LCM(56148,56163) = ( 56148 × 56163) / 3
LCM(56148,56163) = 3153440124 / 3
LCM(56148,56163) = 1051146708
Least Common Multiple (LCM) of 56148 and 56163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56148 and 56163. First we will calculate the prime factors of 56148 and 56163.
Prime Factorization of 56148
Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:
56148 = 22 × 31 × 46791
Prime Factorization of 56163
Prime factors of 56163 are 3, 97, 193. Prime factorization of 56163 in exponential form is:
56163 = 31 × 971 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 56148 and 56163.
LCM(56148,56163) = 22 × 31 × 46791 × 971 × 1931
LCM(56148,56163) = 1051146708
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