What is the Least Common Multiple of 66927 and 66932?
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 66927 and 66932 is 4479557964.
LCM(66927,66932) = 4479557964
Least Common Multiple of 66927 and 66932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66927 and 66932, than apply into the LCM equation.
GCF(66927,66932) = 1
LCM(66927,66932) = ( 66927 × 66932) / 1
LCM(66927,66932) = 4479557964 / 1
LCM(66927,66932) = 4479557964
Least Common Multiple (LCM) of 66927 and 66932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66927 and 66932. First we will calculate the prime factors of 66927 and 66932.
Prime Factorization of 66927
Prime factors of 66927 are 3, 7, 3187. Prime factorization of 66927 in exponential form is:
66927 = 31 × 71 × 31871
Prime Factorization of 66932
Prime factors of 66932 are 2, 29, 577. Prime factorization of 66932 in exponential form is:
66932 = 22 × 291 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 66927 and 66932.
LCM(66927,66932) = 31 × 71 × 31871 × 22 × 291 × 5771
LCM(66927,66932) = 4479557964
Related Least Common Multiples of 66927
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