What is the Least Common Multiple of 73147 and 73151?
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 73147 and 73151 is 5350776197.
LCM(73147,73151) = 5350776197
Least Common Multiple of 73147 and 73151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73147 and 73151, than apply into the LCM equation.
GCF(73147,73151) = 1
LCM(73147,73151) = ( 73147 × 73151) / 1
LCM(73147,73151) = 5350776197 / 1
LCM(73147,73151) = 5350776197
Least Common Multiple (LCM) of 73147 and 73151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73147 and 73151. First we will calculate the prime factors of 73147 and 73151.
Prime Factorization of 73147
Prime factors of 73147 are 193, 379. Prime factorization of 73147 in exponential form is:
73147 = 1931 × 3791
Prime Factorization of 73151
Prime factors of 73151 are 13, 17, 331. Prime factorization of 73151 in exponential form is:
73151 = 131 × 171 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 73147 and 73151.
LCM(73147,73151) = 1931 × 3791 × 131 × 171 × 3311
LCM(73147,73151) = 5350776197
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