What is the Least Common Multiple of 65445 and 65465?
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 65445 and 65465 is 856871385.
LCM(65445,65465) = 856871385
Least Common Multiple of 65445 and 65465 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65445 and 65465, than apply into the LCM equation.
GCF(65445,65465) = 5
LCM(65445,65465) = ( 65445 × 65465) / 5
LCM(65445,65465) = 4284356925 / 5
LCM(65445,65465) = 856871385
Least Common Multiple (LCM) of 65445 and 65465 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65445 and 65465. First we will calculate the prime factors of 65445 and 65465.
Prime Factorization of 65445
Prime factors of 65445 are 3, 5, 4363. Prime factorization of 65445 in exponential form is:
65445 = 31 × 51 × 43631
Prime Factorization of 65465
Prime factors of 65465 are 5, 13093. Prime factorization of 65465 in exponential form is:
65465 = 51 × 130931
Now multiplying the highest exponent prime factors to calculate the LCM of 65445 and 65465.
LCM(65445,65465) = 31 × 51 × 43631 × 130931
LCM(65445,65465) = 856871385
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