What is the Least Common Multiple of 71642 and 71659?
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 71642 and 71659 is 5133794078.
LCM(71642,71659) = 5133794078
Least Common Multiple of 71642 and 71659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71642 and 71659, than apply into the LCM equation.
GCF(71642,71659) = 1
LCM(71642,71659) = ( 71642 × 71659) / 1
LCM(71642,71659) = 5133794078 / 1
LCM(71642,71659) = 5133794078
Least Common Multiple (LCM) of 71642 and 71659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71642 and 71659. First we will calculate the prime factors of 71642 and 71659.
Prime Factorization of 71642
Prime factors of 71642 are 2, 113, 317. Prime factorization of 71642 in exponential form is:
71642 = 21 × 1131 × 3171
Prime Factorization of 71659
Prime factors of 71659 are 7, 29, 353. Prime factorization of 71659 in exponential form is:
71659 = 71 × 291 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 71642 and 71659.
LCM(71642,71659) = 21 × 1131 × 3171 × 71 × 291 × 3531
LCM(71642,71659) = 5133794078
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