What is the Least Common Multiple of 66627 and 66637?
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 66627 and 66637 is 4439823399.
LCM(66627,66637) = 4439823399
Least Common Multiple of 66627 and 66637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66627 and 66637, than apply into the LCM equation.
GCF(66627,66637) = 1
LCM(66627,66637) = ( 66627 × 66637) / 1
LCM(66627,66637) = 4439823399 / 1
LCM(66627,66637) = 4439823399
Least Common Multiple (LCM) of 66627 and 66637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66627 and 66637. First we will calculate the prime factors of 66627 and 66637.
Prime Factorization of 66627
Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:
66627 = 32 × 111 × 6731
Prime Factorization of 66637
Prime factors of 66637 are 37, 1801. Prime factorization of 66637 in exponential form is:
66637 = 371 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 66627 and 66637.
LCM(66627,66637) = 32 × 111 × 6731 × 371 × 18011
LCM(66627,66637) = 4439823399
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