What is the Least Common Multiple of 78622 and 78631?
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 78622 and 78631 is 6182126482.
LCM(78622,78631) = 6182126482
Least Common Multiple of 78622 and 78631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78622 and 78631, than apply into the LCM equation.
GCF(78622,78631) = 1
LCM(78622,78631) = ( 78622 × 78631) / 1
LCM(78622,78631) = 6182126482 / 1
LCM(78622,78631) = 6182126482
Least Common Multiple (LCM) of 78622 and 78631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78622 and 78631. First we will calculate the prime factors of 78622 and 78631.
Prime Factorization of 78622
Prime factors of 78622 are 2, 19, 2069. Prime factorization of 78622 in exponential form is:
78622 = 21 × 191 × 20691
Prime Factorization of 78631
Prime factors of 78631 are 7, 47, 239. Prime factorization of 78631 in exponential form is:
78631 = 71 × 471 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 78622 and 78631.
LCM(78622,78631) = 21 × 191 × 20691 × 71 × 471 × 2391
LCM(78622,78631) = 6182126482
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