What is the Least Common Multiple of 66056 and 66063?
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 66056 and 66063 is 4363857528.
LCM(66056,66063) = 4363857528
Least Common Multiple of 66056 and 66063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66056 and 66063, than apply into the LCM equation.
GCF(66056,66063) = 1
LCM(66056,66063) = ( 66056 × 66063) / 1
LCM(66056,66063) = 4363857528 / 1
LCM(66056,66063) = 4363857528
Least Common Multiple (LCM) of 66056 and 66063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66056 and 66063. First we will calculate the prime factors of 66056 and 66063.
Prime Factorization of 66056
Prime factors of 66056 are 2, 23, 359. Prime factorization of 66056 in exponential form is:
66056 = 23 × 231 × 3591
Prime Factorization of 66063
Prime factors of 66063 are 3, 19, 61. Prime factorization of 66063 in exponential form is:
66063 = 31 × 192 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 66056 and 66063.
LCM(66056,66063) = 23 × 231 × 3591 × 31 × 192 × 611
LCM(66056,66063) = 4363857528
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