What is the Least Common Multiple of 39966 and 39978?
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 39966 and 39978 is 266293458.
LCM(39966,39978) = 266293458
Least Common Multiple of 39966 and 39978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39966 and 39978, than apply into the LCM equation.
GCF(39966,39978) = 6
LCM(39966,39978) = ( 39966 × 39978) / 6
LCM(39966,39978) = 1597760748 / 6
LCM(39966,39978) = 266293458
Least Common Multiple (LCM) of 39966 and 39978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39966 and 39978. First we will calculate the prime factors of 39966 and 39978.
Prime Factorization of 39966
Prime factors of 39966 are 2, 3, 6661. Prime factorization of 39966 in exponential form is:
39966 = 21 × 31 × 66611
Prime Factorization of 39978
Prime factors of 39978 are 2, 3, 2221. Prime factorization of 39978 in exponential form is:
39978 = 21 × 32 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 39966 and 39978.
LCM(39966,39978) = 21 × 32 × 66611 × 22211
LCM(39966,39978) = 266293458
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