What is the Least Common Multiple of 40959 and 40966?
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 40959 and 40966 is 1677926394.
LCM(40959,40966) = 1677926394
Least Common Multiple of 40959 and 40966 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40959 and 40966, than apply into the LCM equation.
GCF(40959,40966) = 1
LCM(40959,40966) = ( 40959 × 40966) / 1
LCM(40959,40966) = 1677926394 / 1
LCM(40959,40966) = 1677926394
Least Common Multiple (LCM) of 40959 and 40966 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40959 and 40966. First we will calculate the prime factors of 40959 and 40966.
Prime Factorization of 40959
Prime factors of 40959 are 3, 37, 41. Prime factorization of 40959 in exponential form is:
40959 = 33 × 371 × 411
Prime Factorization of 40966
Prime factors of 40966 are 2, 20483. Prime factorization of 40966 in exponential form is:
40966 = 21 × 204831
Now multiplying the highest exponent prime factors to calculate the LCM of 40959 and 40966.
LCM(40959,40966) = 33 × 371 × 411 × 21 × 204831
LCM(40959,40966) = 1677926394
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