What is the Least Common Multiple of 64122 and 64136?
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 64122 and 64136 is 2056264296.
LCM(64122,64136) = 2056264296
Least Common Multiple of 64122 and 64136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64122 and 64136, than apply into the LCM equation.
GCF(64122,64136) = 2
LCM(64122,64136) = ( 64122 × 64136) / 2
LCM(64122,64136) = 4112528592 / 2
LCM(64122,64136) = 2056264296
Least Common Multiple (LCM) of 64122 and 64136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64122 and 64136. First we will calculate the prime factors of 64122 and 64136.
Prime Factorization of 64122
Prime factors of 64122 are 2, 3, 10687. Prime factorization of 64122 in exponential form is:
64122 = 21 × 31 × 106871
Prime Factorization of 64136
Prime factors of 64136 are 2, 8017. Prime factorization of 64136 in exponential form is:
64136 = 23 × 80171
Now multiplying the highest exponent prime factors to calculate the LCM of 64122 and 64136.
LCM(64122,64136) = 23 × 31 × 106871 × 80171
LCM(64122,64136) = 2056264296
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