What is the Least Common Multiple of 66043 and 66062?
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 66043 and 66062 is 4362932666.
LCM(66043,66062) = 4362932666
Least Common Multiple of 66043 and 66062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66043 and 66062, than apply into the LCM equation.
GCF(66043,66062) = 1
LCM(66043,66062) = ( 66043 × 66062) / 1
LCM(66043,66062) = 4362932666 / 1
LCM(66043,66062) = 4362932666
Least Common Multiple (LCM) of 66043 and 66062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66043 and 66062. First we will calculate the prime factors of 66043 and 66062.
Prime Factorization of 66043
Prime factors of 66043 are 211, 313. Prime factorization of 66043 in exponential form is:
66043 = 2111 × 3131
Prime Factorization of 66062
Prime factors of 66062 are 2, 17, 29, 67. Prime factorization of 66062 in exponential form is:
66062 = 21 × 171 × 291 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 66043 and 66062.
LCM(66043,66062) = 2111 × 3131 × 21 × 171 × 291 × 671
LCM(66043,66062) = 4362932666
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