What is the Least Common Multiple of 66232 and 66246?
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 66232 and 66246 is 2193802536.
LCM(66232,66246) = 2193802536
Least Common Multiple of 66232 and 66246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66232 and 66246, than apply into the LCM equation.
GCF(66232,66246) = 2
LCM(66232,66246) = ( 66232 × 66246) / 2
LCM(66232,66246) = 4387605072 / 2
LCM(66232,66246) = 2193802536
Least Common Multiple (LCM) of 66232 and 66246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66232 and 66246. First we will calculate the prime factors of 66232 and 66246.
Prime Factorization of 66232
Prime factors of 66232 are 2, 17, 487. Prime factorization of 66232 in exponential form is:
66232 = 23 × 171 × 4871
Prime Factorization of 66246
Prime factors of 66246 are 2, 3, 61, 181. Prime factorization of 66246 in exponential form is:
66246 = 21 × 31 × 611 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 66232 and 66246.
LCM(66232,66246) = 23 × 171 × 4871 × 31 × 611 × 1811
LCM(66232,66246) = 2193802536
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