What is the Least Common Multiple of 65862 and 65881?
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 65862 and 65881 is 4339054422.
LCM(65862,65881) = 4339054422
Least Common Multiple of 65862 and 65881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65862 and 65881, than apply into the LCM equation.
GCF(65862,65881) = 1
LCM(65862,65881) = ( 65862 × 65881) / 1
LCM(65862,65881) = 4339054422 / 1
LCM(65862,65881) = 4339054422
Least Common Multiple (LCM) of 65862 and 65881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65862 and 65881. First we will calculate the prime factors of 65862 and 65881.
Prime Factorization of 65862
Prime factors of 65862 are 2, 3, 3659. Prime factorization of 65862 in exponential form is:
65862 = 21 × 32 × 36591
Prime Factorization of 65881
Prime factors of 65881 are 65881. Prime factorization of 65881 in exponential form is:
65881 = 658811
Now multiplying the highest exponent prime factors to calculate the LCM of 65862 and 65881.
LCM(65862,65881) = 21 × 32 × 36591 × 658811
LCM(65862,65881) = 4339054422
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