What is the Least Common Multiple of 66430 and 66441?
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 66430 and 66441 is 4413675630.
LCM(66430,66441) = 4413675630
Least Common Multiple of 66430 and 66441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66430 and 66441, than apply into the LCM equation.
GCF(66430,66441) = 1
LCM(66430,66441) = ( 66430 × 66441) / 1
LCM(66430,66441) = 4413675630 / 1
LCM(66430,66441) = 4413675630
Least Common Multiple (LCM) of 66430 and 66441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66430 and 66441. First we will calculate the prime factors of 66430 and 66441.
Prime Factorization of 66430
Prime factors of 66430 are 2, 5, 7, 13, 73. Prime factorization of 66430 in exponential form is:
66430 = 21 × 51 × 71 × 131 × 731
Prime Factorization of 66441
Prime factors of 66441 are 3, 22147. Prime factorization of 66441 in exponential form is:
66441 = 31 × 221471
Now multiplying the highest exponent prime factors to calculate the LCM of 66430 and 66441.
LCM(66430,66441) = 21 × 51 × 71 × 131 × 731 × 31 × 221471
LCM(66430,66441) = 4413675630
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