What is the Least Common Multiple of 6155 and 6167?
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 6155 and 6167 is 37957885.
LCM(6155,6167) = 37957885
Least Common Multiple of 6155 and 6167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6155 and 6167, than apply into the LCM equation.
GCF(6155,6167) = 1
LCM(6155,6167) = ( 6155 × 6167) / 1
LCM(6155,6167) = 37957885 / 1
LCM(6155,6167) = 37957885
Least Common Multiple (LCM) of 6155 and 6167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6155 and 6167. First we will calculate the prime factors of 6155 and 6167.
Prime Factorization of 6155
Prime factors of 6155 are 5, 1231. Prime factorization of 6155 in exponential form is:
6155 = 51 × 12311
Prime Factorization of 6167
Prime factors of 6167 are 7, 881. Prime factorization of 6167 in exponential form is:
6167 = 71 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 6155 and 6167.
LCM(6155,6167) = 51 × 12311 × 71 × 8811
LCM(6155,6167) = 37957885
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