What is the Least Common Multiple of 76928 and 76945?
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 76928 and 76945 is 5919224960.
LCM(76928,76945) = 5919224960
Least Common Multiple of 76928 and 76945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76928 and 76945, than apply into the LCM equation.
GCF(76928,76945) = 1
LCM(76928,76945) = ( 76928 × 76945) / 1
LCM(76928,76945) = 5919224960 / 1
LCM(76928,76945) = 5919224960
Least Common Multiple (LCM) of 76928 and 76945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76928 and 76945. First we will calculate the prime factors of 76928 and 76945.
Prime Factorization of 76928
Prime factors of 76928 are 2, 601. Prime factorization of 76928 in exponential form is:
76928 = 27 × 6011
Prime Factorization of 76945
Prime factors of 76945 are 5, 11, 1399. Prime factorization of 76945 in exponential form is:
76945 = 51 × 111 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 76928 and 76945.
LCM(76928,76945) = 27 × 6011 × 51 × 111 × 13991
LCM(76928,76945) = 5919224960
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