What is the Least Common Multiple of 40778 and 40790?
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 40778 and 40790 is 831667310.
LCM(40778,40790) = 831667310
Least Common Multiple of 40778 and 40790 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40778 and 40790, than apply into the LCM equation.
GCF(40778,40790) = 2
LCM(40778,40790) = ( 40778 × 40790) / 2
LCM(40778,40790) = 1663334620 / 2
LCM(40778,40790) = 831667310
Least Common Multiple (LCM) of 40778 and 40790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40778 and 40790. First we will calculate the prime factors of 40778 and 40790.
Prime Factorization of 40778
Prime factors of 40778 are 2, 20389. Prime factorization of 40778 in exponential form is:
40778 = 21 × 203891
Prime Factorization of 40790
Prime factors of 40790 are 2, 5, 4079. Prime factorization of 40790 in exponential form is:
40790 = 21 × 51 × 40791
Now multiplying the highest exponent prime factors to calculate the LCM of 40778 and 40790.
LCM(40778,40790) = 21 × 203891 × 51 × 40791
LCM(40778,40790) = 831667310
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