What is the Least Common Multiple of 7169 and 7175?
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 7169 and 7175 is 51437575.
LCM(7169,7175) = 51437575
Least Common Multiple of 7169 and 7175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7169 and 7175, than apply into the LCM equation.
GCF(7169,7175) = 1
LCM(7169,7175) = ( 7169 × 7175) / 1
LCM(7169,7175) = 51437575 / 1
LCM(7169,7175) = 51437575
Least Common Multiple (LCM) of 7169 and 7175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7169 and 7175. First we will calculate the prime factors of 7169 and 7175.
Prime Factorization of 7169
Prime factors of 7169 are 67, 107. Prime factorization of 7169 in exponential form is:
7169 = 671 × 1071
Prime Factorization of 7175
Prime factors of 7175 are 5, 7, 41. Prime factorization of 7175 in exponential form is:
7175 = 52 × 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 7169 and 7175.
LCM(7169,7175) = 671 × 1071 × 52 × 71 × 411
LCM(7169,7175) = 51437575
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