What is the Least Common Multiple of 66291 and 66302?
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 66291 and 66302 is 4395225882.
LCM(66291,66302) = 4395225882
Least Common Multiple of 66291 and 66302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66291 and 66302, than apply into the LCM equation.
GCF(66291,66302) = 1
LCM(66291,66302) = ( 66291 × 66302) / 1
LCM(66291,66302) = 4395225882 / 1
LCM(66291,66302) = 4395225882
Least Common Multiple (LCM) of 66291 and 66302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66291 and 66302. First we will calculate the prime factors of 66291 and 66302.
Prime Factorization of 66291
Prime factors of 66291 are 3, 19, 1163. Prime factorization of 66291 in exponential form is:
66291 = 31 × 191 × 11631
Prime Factorization of 66302
Prime factors of 66302 are 2, 33151. Prime factorization of 66302 in exponential form is:
66302 = 21 × 331511
Now multiplying the highest exponent prime factors to calculate the LCM of 66291 and 66302.
LCM(66291,66302) = 31 × 191 × 11631 × 21 × 331511
LCM(66291,66302) = 4395225882
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