What is the Least Common Multiple of 36137 and 36141?
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 36137 and 36141 is 1306027317.
LCM(36137,36141) = 1306027317
Least Common Multiple of 36137 and 36141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36137 and 36141, than apply into the LCM equation.
GCF(36137,36141) = 1
LCM(36137,36141) = ( 36137 × 36141) / 1
LCM(36137,36141) = 1306027317 / 1
LCM(36137,36141) = 1306027317
Least Common Multiple (LCM) of 36137 and 36141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36137 and 36141. First we will calculate the prime factors of 36137 and 36141.
Prime Factorization of 36137
Prime factors of 36137 are 36137. Prime factorization of 36137 in exponential form is:
36137 = 361371
Prime Factorization of 36141
Prime factors of 36141 are 3, 7, 1721. Prime factorization of 36141 in exponential form is:
36141 = 31 × 71 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 36137 and 36141.
LCM(36137,36141) = 361371 × 31 × 71 × 17211
LCM(36137,36141) = 1306027317
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