What is the Least Common Multiple of 64135 and 64154?
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 64135 and 64154 is 4114516790.
LCM(64135,64154) = 4114516790
Least Common Multiple of 64135 and 64154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64135 and 64154, than apply into the LCM equation.
GCF(64135,64154) = 1
LCM(64135,64154) = ( 64135 × 64154) / 1
LCM(64135,64154) = 4114516790 / 1
LCM(64135,64154) = 4114516790
Least Common Multiple (LCM) of 64135 and 64154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64135 and 64154. First we will calculate the prime factors of 64135 and 64154.
Prime Factorization of 64135
Prime factors of 64135 are 5, 101, 127. Prime factorization of 64135 in exponential form is:
64135 = 51 × 1011 × 1271
Prime Factorization of 64154
Prime factors of 64154 are 2, 32077. Prime factorization of 64154 in exponential form is:
64154 = 21 × 320771
Now multiplying the highest exponent prime factors to calculate the LCM of 64135 and 64154.
LCM(64135,64154) = 51 × 1011 × 1271 × 21 × 320771
LCM(64135,64154) = 4114516790
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