What is the Least Common Multiple of 40276 and 40285?
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 40276 and 40285 is 1622518660.
LCM(40276,40285) = 1622518660
Least Common Multiple of 40276 and 40285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40276 and 40285, than apply into the LCM equation.
GCF(40276,40285) = 1
LCM(40276,40285) = ( 40276 × 40285) / 1
LCM(40276,40285) = 1622518660 / 1
LCM(40276,40285) = 1622518660
Least Common Multiple (LCM) of 40276 and 40285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40276 and 40285. First we will calculate the prime factors of 40276 and 40285.
Prime Factorization of 40276
Prime factors of 40276 are 2, 10069. Prime factorization of 40276 in exponential form is:
40276 = 22 × 100691
Prime Factorization of 40285
Prime factors of 40285 are 5, 7, 1151. Prime factorization of 40285 in exponential form is:
40285 = 51 × 71 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 40276 and 40285.
LCM(40276,40285) = 22 × 100691 × 51 × 71 × 11511
LCM(40276,40285) = 1622518660
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