What is the Least Common Multiple of 40133 and 40139?
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 40133 and 40139 is 1610898487.
LCM(40133,40139) = 1610898487
Least Common Multiple of 40133 and 40139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40133 and 40139, than apply into the LCM equation.
GCF(40133,40139) = 1
LCM(40133,40139) = ( 40133 × 40139) / 1
LCM(40133,40139) = 1610898487 / 1
LCM(40133,40139) = 1610898487
Least Common Multiple (LCM) of 40133 and 40139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40133 and 40139. First we will calculate the prime factors of 40133 and 40139.
Prime Factorization of 40133
Prime factors of 40133 are 67, 599. Prime factorization of 40133 in exponential form is:
40133 = 671 × 5991
Prime Factorization of 40139
Prime factors of 40139 are 11, 41, 89. Prime factorization of 40139 in exponential form is:
40139 = 111 × 411 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 40133 and 40139.
LCM(40133,40139) = 671 × 5991 × 111 × 411 × 891
LCM(40133,40139) = 1610898487
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