What is the Least Common Multiple of 64123 and 64142?
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 64123 and 64142 is 4112977466.
LCM(64123,64142) = 4112977466
Least Common Multiple of 64123 and 64142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64123 and 64142, than apply into the LCM equation.
GCF(64123,64142) = 1
LCM(64123,64142) = ( 64123 × 64142) / 1
LCM(64123,64142) = 4112977466 / 1
LCM(64123,64142) = 4112977466
Least Common Multiple (LCM) of 64123 and 64142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64123 and 64142. First we will calculate the prime factors of 64123 and 64142.
Prime Factorization of 64123
Prime factors of 64123 are 64123. Prime factorization of 64123 in exponential form is:
64123 = 641231
Prime Factorization of 64142
Prime factors of 64142 are 2, 13, 2467. Prime factorization of 64142 in exponential form is:
64142 = 21 × 131 × 24671
Now multiplying the highest exponent prime factors to calculate the LCM of 64123 and 64142.
LCM(64123,64142) = 641231 × 21 × 131 × 24671
LCM(64123,64142) = 4112977466
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