What is the Least Common Multiple of 54766 and 54775?
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 54766 and 54775 is 2999807650.
LCM(54766,54775) = 2999807650
Least Common Multiple of 54766 and 54775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54766 and 54775, than apply into the LCM equation.
GCF(54766,54775) = 1
LCM(54766,54775) = ( 54766 × 54775) / 1
LCM(54766,54775) = 2999807650 / 1
LCM(54766,54775) = 2999807650
Least Common Multiple (LCM) of 54766 and 54775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54766 and 54775. First we will calculate the prime factors of 54766 and 54775.
Prime Factorization of 54766
Prime factors of 54766 are 2, 139, 197. Prime factorization of 54766 in exponential form is:
54766 = 21 × 1391 × 1971
Prime Factorization of 54775
Prime factors of 54775 are 5, 7, 313. Prime factorization of 54775 in exponential form is:
54775 = 52 × 71 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 54766 and 54775.
LCM(54766,54775) = 21 × 1391 × 1971 × 52 × 71 × 3131
LCM(54766,54775) = 2999807650
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Related Least Common Multiples of 54775
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