What is the Least Common Multiple of 67137 and 67147?
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 67137 and 67147 is 4508048139.
LCM(67137,67147) = 4508048139
Least Common Multiple of 67137 and 67147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67137 and 67147, than apply into the LCM equation.
GCF(67137,67147) = 1
LCM(67137,67147) = ( 67137 × 67147) / 1
LCM(67137,67147) = 4508048139 / 1
LCM(67137,67147) = 4508048139
Least Common Multiple (LCM) of 67137 and 67147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67137 and 67147. First we will calculate the prime factors of 67137 and 67147.
Prime Factorization of 67137
Prime factors of 67137 are 3, 7, 23, 139. Prime factorization of 67137 in exponential form is:
67137 = 31 × 71 × 231 × 1391
Prime Factorization of 67147
Prime factors of 67147 are 83, 809. Prime factorization of 67147 in exponential form is:
67147 = 831 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 67137 and 67147.
LCM(67137,67147) = 31 × 71 × 231 × 1391 × 831 × 8091
LCM(67137,67147) = 4508048139
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