What is the Least Common Multiple of 68137 and 68151?
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 68137 and 68151 is 4643604687.
LCM(68137,68151) = 4643604687
Least Common Multiple of 68137 and 68151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68137 and 68151, than apply into the LCM equation.
GCF(68137,68151) = 1
LCM(68137,68151) = ( 68137 × 68151) / 1
LCM(68137,68151) = 4643604687 / 1
LCM(68137,68151) = 4643604687
Least Common Multiple (LCM) of 68137 and 68151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68137 and 68151. First we will calculate the prime factors of 68137 and 68151.
Prime Factorization of 68137
Prime factors of 68137 are 61, 1117. Prime factorization of 68137 in exponential form is:
68137 = 611 × 11171
Prime Factorization of 68151
Prime factors of 68151 are 3, 22717. Prime factorization of 68151 in exponential form is:
68151 = 31 × 227171
Now multiplying the highest exponent prime factors to calculate the LCM of 68137 and 68151.
LCM(68137,68151) = 611 × 11171 × 31 × 227171
LCM(68137,68151) = 4643604687
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