What is the Least Common Multiple of 66121 and 66139?
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 66121 and 66139 is 4373176819.
LCM(66121,66139) = 4373176819
Least Common Multiple of 66121 and 66139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66121 and 66139, than apply into the LCM equation.
GCF(66121,66139) = 1
LCM(66121,66139) = ( 66121 × 66139) / 1
LCM(66121,66139) = 4373176819 / 1
LCM(66121,66139) = 4373176819
Least Common Multiple (LCM) of 66121 and 66139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66121 and 66139. First we will calculate the prime factors of 66121 and 66139.
Prime Factorization of 66121
Prime factors of 66121 are 11, 6011. Prime factorization of 66121 in exponential form is:
66121 = 111 × 60111
Prime Factorization of 66139
Prime factors of 66139 are 19, 59. Prime factorization of 66139 in exponential form is:
66139 = 191 × 592
Now multiplying the highest exponent prime factors to calculate the LCM of 66121 and 66139.
LCM(66121,66139) = 111 × 60111 × 191 × 592
LCM(66121,66139) = 4373176819
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