What is the Least Common Multiple of 51063 and 51082?
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 51063 and 51082 is 2608400166.
LCM(51063,51082) = 2608400166
Least Common Multiple of 51063 and 51082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51063 and 51082, than apply into the LCM equation.
GCF(51063,51082) = 1
LCM(51063,51082) = ( 51063 × 51082) / 1
LCM(51063,51082) = 2608400166 / 1
LCM(51063,51082) = 2608400166
Least Common Multiple (LCM) of 51063 and 51082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51063 and 51082. First we will calculate the prime factors of 51063 and 51082.
Prime Factorization of 51063
Prime factors of 51063 are 3, 17021. Prime factorization of 51063 in exponential form is:
51063 = 31 × 170211
Prime Factorization of 51082
Prime factors of 51082 are 2, 25541. Prime factorization of 51082 in exponential form is:
51082 = 21 × 255411
Now multiplying the highest exponent prime factors to calculate the LCM of 51063 and 51082.
LCM(51063,51082) = 31 × 170211 × 21 × 255411
LCM(51063,51082) = 2608400166
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