What is the Least Common Multiple of 66752 and 66758?
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 66752 and 66758 is 2228115008.
LCM(66752,66758) = 2228115008
Least Common Multiple of 66752 and 66758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66752 and 66758, than apply into the LCM equation.
GCF(66752,66758) = 2
LCM(66752,66758) = ( 66752 × 66758) / 2
LCM(66752,66758) = 4456230016 / 2
LCM(66752,66758) = 2228115008
Least Common Multiple (LCM) of 66752 and 66758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66752 and 66758. First we will calculate the prime factors of 66752 and 66758.
Prime Factorization of 66752
Prime factors of 66752 are 2, 7, 149. Prime factorization of 66752 in exponential form is:
66752 = 26 × 71 × 1491
Prime Factorization of 66758
Prime factors of 66758 are 2, 29, 1151. Prime factorization of 66758 in exponential form is:
66758 = 21 × 291 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 66752 and 66758.
LCM(66752,66758) = 26 × 71 × 1491 × 291 × 11511
LCM(66752,66758) = 2228115008
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