What is the Least Common Multiple of 66430 and 66440?
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 66440 is 441360920.
LCM(66430,66440) = 441360920
Least Common Multiple of 66430 and 66440 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 66440, than apply into the LCM equation.
GCF(66430,66440) = 10
LCM(66430,66440) = ( 66430 × 66440) / 10
LCM(66430,66440) = 4413609200 / 10
LCM(66430,66440) = 441360920
Least Common Multiple (LCM) of 66430 and 66440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66430 and 66440. First we will calculate the prime factors of 66430 and 66440.
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 66440
Prime factors of 66440 are 2, 5, 11, 151. Prime factorization of 66440 in exponential form is:
66440 = 23 × 51 × 111 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 66430 and 66440.
LCM(66430,66440) = 23 × 51 × 71 × 131 × 731 × 111 × 1511
LCM(66430,66440) = 441360920
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