What is the Least Common Multiple of 40153 and 40159?
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 40153 and 40159 is 1612504327.
LCM(40153,40159) = 1612504327
Least Common Multiple of 40153 and 40159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40153 and 40159, than apply into the LCM equation.
GCF(40153,40159) = 1
LCM(40153,40159) = ( 40153 × 40159) / 1
LCM(40153,40159) = 1612504327 / 1
LCM(40153,40159) = 1612504327
Least Common Multiple (LCM) of 40153 and 40159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40153 and 40159. First we will calculate the prime factors of 40153 and 40159.
Prime Factorization of 40153
Prime factors of 40153 are 40153. Prime factorization of 40153 in exponential form is:
40153 = 401531
Prime Factorization of 40159
Prime factors of 40159 are 7, 5737. Prime factorization of 40159 in exponential form is:
40159 = 71 × 57371
Now multiplying the highest exponent prime factors to calculate the LCM of 40153 and 40159.
LCM(40153,40159) = 401531 × 71 × 57371
LCM(40153,40159) = 1612504327
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