What is the Least Common Multiple of 66648 and 66654?
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 66648 and 66654 is 740392632.
LCM(66648,66654) = 740392632
Least Common Multiple of 66648 and 66654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66648 and 66654, than apply into the LCM equation.
GCF(66648,66654) = 6
LCM(66648,66654) = ( 66648 × 66654) / 6
LCM(66648,66654) = 4442355792 / 6
LCM(66648,66654) = 740392632
Least Common Multiple (LCM) of 66648 and 66654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66648 and 66654. First we will calculate the prime factors of 66648 and 66654.
Prime Factorization of 66648
Prime factors of 66648 are 2, 3, 2777. Prime factorization of 66648 in exponential form is:
66648 = 23 × 31 × 27771
Prime Factorization of 66654
Prime factors of 66654 are 2, 3, 7, 23. Prime factorization of 66654 in exponential form is:
66654 = 21 × 32 × 71 × 232
Now multiplying the highest exponent prime factors to calculate the LCM of 66648 and 66654.
LCM(66648,66654) = 23 × 32 × 27771 × 71 × 232
LCM(66648,66654) = 740392632
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