What is the Least Common Multiple of 40127 and 40137?
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 40127 and 40137 is 1610577399.
LCM(40127,40137) = 1610577399
Least Common Multiple of 40127 and 40137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40127 and 40137, than apply into the LCM equation.
GCF(40127,40137) = 1
LCM(40127,40137) = ( 40127 × 40137) / 1
LCM(40127,40137) = 1610577399 / 1
LCM(40127,40137) = 1610577399
Least Common Multiple (LCM) of 40127 and 40137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40127 and 40137. First we will calculate the prime factors of 40127 and 40137.
Prime Factorization of 40127
Prime factors of 40127 are 40127. Prime factorization of 40127 in exponential form is:
40127 = 401271
Prime Factorization of 40137
Prime factors of 40137 are 3, 17, 787. Prime factorization of 40137 in exponential form is:
40137 = 31 × 171 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 40127 and 40137.
LCM(40127,40137) = 401271 × 31 × 171 × 7871
LCM(40127,40137) = 1610577399
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