What is the Least Common Multiple of 71102 and 71113?
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 71102 and 71113 is 5056276526.
LCM(71102,71113) = 5056276526
Least Common Multiple of 71102 and 71113 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71102 and 71113, than apply into the LCM equation.
GCF(71102,71113) = 1
LCM(71102,71113) = ( 71102 × 71113) / 1
LCM(71102,71113) = 5056276526 / 1
LCM(71102,71113) = 5056276526
Least Common Multiple (LCM) of 71102 and 71113 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71102 and 71113. First we will calculate the prime factors of 71102 and 71113.
Prime Factorization of 71102
Prime factors of 71102 are 2, 73, 487. Prime factorization of 71102 in exponential form is:
71102 = 21 × 731 × 4871
Prime Factorization of 71113
Prime factors of 71113 are 7, 10159. Prime factorization of 71113 in exponential form is:
71113 = 71 × 101591
Now multiplying the highest exponent prime factors to calculate the LCM of 71102 and 71113.
LCM(71102,71113) = 21 × 731 × 4871 × 71 × 101591
LCM(71102,71113) = 5056276526
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