What is the Least Common Multiple of 10046 and 10065?
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 10046 and 10065 is 101112990.
LCM(10046,10065) = 101112990
Least Common Multiple of 10046 and 10065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10046 and 10065, than apply into the LCM equation.
GCF(10046,10065) = 1
LCM(10046,10065) = ( 10046 × 10065) / 1
LCM(10046,10065) = 101112990 / 1
LCM(10046,10065) = 101112990
Least Common Multiple (LCM) of 10046 and 10065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10046 and 10065. First we will calculate the prime factors of 10046 and 10065.
Prime Factorization of 10046
Prime factors of 10046 are 2, 5023. Prime factorization of 10046 in exponential form is:
10046 = 21 × 50231
Prime Factorization of 10065
Prime factors of 10065 are 3, 5, 11, 61. Prime factorization of 10065 in exponential form is:
10065 = 31 × 51 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 10046 and 10065.
LCM(10046,10065) = 21 × 50231 × 31 × 51 × 111 × 611
LCM(10046,10065) = 101112990
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