What is the Least Common Multiple of 71170 and 71181?
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 71170 and 71181 is 460541070.
LCM(71170,71181) = 460541070
Least Common Multiple of 71170 and 71181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71170 and 71181, than apply into the LCM equation.
GCF(71170,71181) = 11
LCM(71170,71181) = ( 71170 × 71181) / 11
LCM(71170,71181) = 5065951770 / 11
LCM(71170,71181) = 460541070
Least Common Multiple (LCM) of 71170 and 71181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71170 and 71181. First we will calculate the prime factors of 71170 and 71181.
Prime Factorization of 71170
Prime factors of 71170 are 2, 5, 11, 647. Prime factorization of 71170 in exponential form is:
71170 = 21 × 51 × 111 × 6471
Prime Factorization of 71181
Prime factors of 71181 are 3, 11, 719. Prime factorization of 71181 in exponential form is:
71181 = 32 × 111 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 71170 and 71181.
LCM(71170,71181) = 21 × 51 × 111 × 6471 × 32 × 7191
LCM(71170,71181) = 460541070
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