What is the Least Common Multiple of 40133 and 40153?
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 40133 and 40153 is 1611460349.
LCM(40133,40153) = 1611460349
Least Common Multiple of 40133 and 40153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40133 and 40153, than apply into the LCM equation.
GCF(40133,40153) = 1
LCM(40133,40153) = ( 40133 × 40153) / 1
LCM(40133,40153) = 1611460349 / 1
LCM(40133,40153) = 1611460349
Least Common Multiple (LCM) of 40133 and 40153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40133 and 40153. First we will calculate the prime factors of 40133 and 40153.
Prime Factorization of 40133
Prime factors of 40133 are 67, 599. Prime factorization of 40133 in exponential form is:
40133 = 671 × 5991
Prime Factorization of 40153
Prime factors of 40153 are 40153. Prime factorization of 40153 in exponential form is:
40153 = 401531
Now multiplying the highest exponent prime factors to calculate the LCM of 40133 and 40153.
LCM(40133,40153) = 671 × 5991 × 401531
LCM(40133,40153) = 1611460349
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