What is the Least Common Multiple of 40127 and 40147?
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 40147 is 1610978669.
LCM(40127,40147) = 1610978669
Least Common Multiple of 40127 and 40147 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 40147, than apply into the LCM equation.
GCF(40127,40147) = 1
LCM(40127,40147) = ( 40127 × 40147) / 1
LCM(40127,40147) = 1610978669 / 1
LCM(40127,40147) = 1610978669
Least Common Multiple (LCM) of 40127 and 40147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40127 and 40147. First we will calculate the prime factors of 40127 and 40147.
Prime Factorization of 40127
Prime factors of 40127 are 40127. Prime factorization of 40127 in exponential form is:
40127 = 401271
Prime Factorization of 40147
Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:
40147 = 191 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 40127 and 40147.
LCM(40127,40147) = 401271 × 191 × 21131
LCM(40127,40147) = 1610978669
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