What is the Least Common Multiple of 64137 and 64153?
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 64137 and 64153 is 4114580961.
LCM(64137,64153) = 4114580961
Least Common Multiple of 64137 and 64153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64137 and 64153, than apply into the LCM equation.
GCF(64137,64153) = 1
LCM(64137,64153) = ( 64137 × 64153) / 1
LCM(64137,64153) = 4114580961 / 1
LCM(64137,64153) = 4114580961
Least Common Multiple (LCM) of 64137 and 64153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64137 and 64153. First we will calculate the prime factors of 64137 and 64153.
Prime Factorization of 64137
Prime factors of 64137 are 3, 21379. Prime factorization of 64137 in exponential form is:
64137 = 31 × 213791
Prime Factorization of 64153
Prime factors of 64153 are 64153. Prime factorization of 64153 in exponential form is:
64153 = 641531
Now multiplying the highest exponent prime factors to calculate the LCM of 64137 and 64153.
LCM(64137,64153) = 31 × 213791 × 641531
LCM(64137,64153) = 4114580961
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