What is the Least Common Multiple of 71101 and 71106?
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 71101 and 71106 is 5055707706.
LCM(71101,71106) = 5055707706
Least Common Multiple of 71101 and 71106 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71101 and 71106, than apply into the LCM equation.
GCF(71101,71106) = 1
LCM(71101,71106) = ( 71101 × 71106) / 1
LCM(71101,71106) = 5055707706 / 1
LCM(71101,71106) = 5055707706
Least Common Multiple (LCM) of 71101 and 71106 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71101 and 71106. First we will calculate the prime factors of 71101 and 71106.
Prime Factorization of 71101
Prime factors of 71101 are 97, 733. Prime factorization of 71101 in exponential form is:
71101 = 971 × 7331
Prime Factorization of 71106
Prime factors of 71106 are 2, 3, 7, 1693. Prime factorization of 71106 in exponential form is:
71106 = 21 × 31 × 71 × 16931
Now multiplying the highest exponent prime factors to calculate the LCM of 71101 and 71106.
LCM(71101,71106) = 971 × 7331 × 21 × 31 × 71 × 16931
LCM(71101,71106) = 5055707706
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Related Least Common Multiples of 71106
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