What is the Least Common Multiple of 2155 and 2174?
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 2155 and 2174 is 4684970.
LCM(2155,2174) = 4684970
Least Common Multiple of 2155 and 2174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2155 and 2174, than apply into the LCM equation.
GCF(2155,2174) = 1
LCM(2155,2174) = ( 2155 × 2174) / 1
LCM(2155,2174) = 4684970 / 1
LCM(2155,2174) = 4684970
Least Common Multiple (LCM) of 2155 and 2174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2155 and 2174. First we will calculate the prime factors of 2155 and 2174.
Prime Factorization of 2155
Prime factors of 2155 are 5, 431. Prime factorization of 2155 in exponential form is:
2155 = 51 × 4311
Prime Factorization of 2174
Prime factors of 2174 are 2, 1087. Prime factorization of 2174 in exponential form is:
2174 = 21 × 10871
Now multiplying the highest exponent prime factors to calculate the LCM of 2155 and 2174.
LCM(2155,2174) = 51 × 4311 × 21 × 10871
LCM(2155,2174) = 4684970
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