What is the Least Common Multiple of 64129 and 64148?
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 64129 and 64148 is 4113747092.
LCM(64129,64148) = 4113747092
Least Common Multiple of 64129 and 64148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64129 and 64148, than apply into the LCM equation.
GCF(64129,64148) = 1
LCM(64129,64148) = ( 64129 × 64148) / 1
LCM(64129,64148) = 4113747092 / 1
LCM(64129,64148) = 4113747092
Least Common Multiple (LCM) of 64129 and 64148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64129 and 64148. First we will calculate the prime factors of 64129 and 64148.
Prime Factorization of 64129
Prime factors of 64129 are 13, 4933. Prime factorization of 64129 in exponential form is:
64129 = 131 × 49331
Prime Factorization of 64148
Prime factors of 64148 are 2, 7, 29, 79. Prime factorization of 64148 in exponential form is:
64148 = 22 × 71 × 291 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 64129 and 64148.
LCM(64129,64148) = 131 × 49331 × 22 × 71 × 291 × 791
LCM(64129,64148) = 4113747092
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