What is the Least Common Multiple of 66059 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 66059 and 66063 is 4364055717.
LCM(66059,66063) = 4364055717
Least Common Multiple of 66059 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 66059 and 66063, than apply into the LCM equation.
GCF(66059,66063) = 1
LCM(66059,66063) = ( 66059 × 66063) / 1
LCM(66059,66063) = 4364055717 / 1
LCM(66059,66063) = 4364055717
Least Common Multiple (LCM) of 66059 and 66063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66059 and 66063. First we will calculate the prime factors of 66059 and 66063.
Prime Factorization of 66059
Prime factors of 66059 are 7, 9437. Prime factorization of 66059 in exponential form is:
66059 = 71 × 94371
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 66059 and 66063.
LCM(66059,66063) = 71 × 94371 × 31 × 192 × 611
LCM(66059,66063) = 4364055717
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