What is the Least Common Multiple of 66941 and 66960?
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 66941 and 66960 is 4482369360.
LCM(66941,66960) = 4482369360
Least Common Multiple of 66941 and 66960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66941 and 66960, than apply into the LCM equation.
GCF(66941,66960) = 1
LCM(66941,66960) = ( 66941 × 66960) / 1
LCM(66941,66960) = 4482369360 / 1
LCM(66941,66960) = 4482369360
Least Common Multiple (LCM) of 66941 and 66960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66941 and 66960. First we will calculate the prime factors of 66941 and 66960.
Prime Factorization of 66941
Prime factors of 66941 are 7, 73, 131. Prime factorization of 66941 in exponential form is:
66941 = 71 × 731 × 1311
Prime Factorization of 66960
Prime factors of 66960 are 2, 3, 5, 31. Prime factorization of 66960 in exponential form is:
66960 = 24 × 33 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 66941 and 66960.
LCM(66941,66960) = 71 × 731 × 1311 × 24 × 33 × 51 × 311
LCM(66941,66960) = 4482369360
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