What is the Least Common Multiple of 54786 and 54790?
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 54786 and 54790 is 1500862470.
LCM(54786,54790) = 1500862470
Least Common Multiple of 54786 and 54790 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54786 and 54790, than apply into the LCM equation.
GCF(54786,54790) = 2
LCM(54786,54790) = ( 54786 × 54790) / 2
LCM(54786,54790) = 3001724940 / 2
LCM(54786,54790) = 1500862470
Least Common Multiple (LCM) of 54786 and 54790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54786 and 54790. First we will calculate the prime factors of 54786 and 54790.
Prime Factorization of 54786
Prime factors of 54786 are 2, 3, 23, 397. Prime factorization of 54786 in exponential form is:
54786 = 21 × 31 × 231 × 3971
Prime Factorization of 54790
Prime factors of 54790 are 2, 5, 5479. Prime factorization of 54790 in exponential form is:
54790 = 21 × 51 × 54791
Now multiplying the highest exponent prime factors to calculate the LCM of 54786 and 54790.
LCM(54786,54790) = 21 × 31 × 231 × 3971 × 51 × 54791
LCM(54786,54790) = 1500862470
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