What is the Least Common Multiple of 66481 and 66487?
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 66481 and 66487 is 4420122247.
LCM(66481,66487) = 4420122247
Least Common Multiple of 66481 and 66487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66481 and 66487, than apply into the LCM equation.
GCF(66481,66487) = 1
LCM(66481,66487) = ( 66481 × 66487) / 1
LCM(66481,66487) = 4420122247 / 1
LCM(66481,66487) = 4420122247
Least Common Multiple (LCM) of 66481 and 66487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66481 and 66487. First we will calculate the prime factors of 66481 and 66487.
Prime Factorization of 66481
Prime factors of 66481 are 19, 3499. Prime factorization of 66481 in exponential form is:
66481 = 191 × 34991
Prime Factorization of 66487
Prime factors of 66487 are 17, 3911. Prime factorization of 66487 in exponential form is:
66487 = 171 × 39111
Now multiplying the highest exponent prime factors to calculate the LCM of 66481 and 66487.
LCM(66481,66487) = 191 × 34991 × 171 × 39111
LCM(66481,66487) = 4420122247
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