What is the Least Common Multiple of 66477 and 66482?
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 66477 and 66482 is 4419523914.
LCM(66477,66482) = 4419523914
Least Common Multiple of 66477 and 66482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66477 and 66482, than apply into the LCM equation.
GCF(66477,66482) = 1
LCM(66477,66482) = ( 66477 × 66482) / 1
LCM(66477,66482) = 4419523914 / 1
LCM(66477,66482) = 4419523914
Least Common Multiple (LCM) of 66477 and 66482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66477 and 66482. First we will calculate the prime factors of 66477 and 66482.
Prime Factorization of 66477
Prime factors of 66477 are 3, 22159. Prime factorization of 66477 in exponential form is:
66477 = 31 × 221591
Prime Factorization of 66482
Prime factors of 66482 are 2, 13, 2557. Prime factorization of 66482 in exponential form is:
66482 = 21 × 131 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 66477 and 66482.
LCM(66477,66482) = 31 × 221591 × 21 × 131 × 25571
LCM(66477,66482) = 4419523914
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