What is the Least Common Multiple of 7153 and 7157?
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 7153 and 7157 is 51194021.
LCM(7153,7157) = 51194021
Least Common Multiple of 7153 and 7157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7153 and 7157, than apply into the LCM equation.
GCF(7153,7157) = 1
LCM(7153,7157) = ( 7153 × 7157) / 1
LCM(7153,7157) = 51194021 / 1
LCM(7153,7157) = 51194021
Least Common Multiple (LCM) of 7153 and 7157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7153 and 7157. First we will calculate the prime factors of 7153 and 7157.
Prime Factorization of 7153
Prime factors of 7153 are 23, 311. Prime factorization of 7153 in exponential form is:
7153 = 231 × 3111
Prime Factorization of 7157
Prime factors of 7157 are 17, 421. Prime factorization of 7157 in exponential form is:
7157 = 171 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 7153 and 7157.
LCM(7153,7157) = 231 × 3111 × 171 × 4211
LCM(7153,7157) = 51194021
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