What is the Least Common Multiple of 64141 and 64156?
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 64141 and 64156 is 4115029996.
LCM(64141,64156) = 4115029996
Least Common Multiple of 64141 and 64156 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64141 and 64156, than apply into the LCM equation.
GCF(64141,64156) = 1
LCM(64141,64156) = ( 64141 × 64156) / 1
LCM(64141,64156) = 4115029996 / 1
LCM(64141,64156) = 4115029996
Least Common Multiple (LCM) of 64141 and 64156 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64141 and 64156. First we will calculate the prime factors of 64141 and 64156.
Prime Factorization of 64141
Prime factors of 64141 are 7, 11, 17. Prime factorization of 64141 in exponential form is:
64141 = 73 × 111 × 171
Prime Factorization of 64156
Prime factors of 64156 are 2, 43, 373. Prime factorization of 64156 in exponential form is:
64156 = 22 × 431 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 64141 and 64156.
LCM(64141,64156) = 73 × 111 × 171 × 22 × 431 × 3731
LCM(64141,64156) = 4115029996
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