What is the Least Common Multiple of 66484 and 66491?
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 66484 and 66491 is 4420587644.
LCM(66484,66491) = 4420587644
Least Common Multiple of 66484 and 66491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66484 and 66491, than apply into the LCM equation.
GCF(66484,66491) = 1
LCM(66484,66491) = ( 66484 × 66491) / 1
LCM(66484,66491) = 4420587644 / 1
LCM(66484,66491) = 4420587644
Least Common Multiple (LCM) of 66484 and 66491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66484 and 66491. First we will calculate the prime factors of 66484 and 66491.
Prime Factorization of 66484
Prime factors of 66484 are 2, 11, 1511. Prime factorization of 66484 in exponential form is:
66484 = 22 × 111 × 15111
Prime Factorization of 66491
Prime factors of 66491 are 66491. Prime factorization of 66491 in exponential form is:
66491 = 664911
Now multiplying the highest exponent prime factors to calculate the LCM of 66484 and 66491.
LCM(66484,66491) = 22 × 111 × 15111 × 664911
LCM(66484,66491) = 4420587644
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