What is the Least Common Multiple of 76941 and 76960?
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 76941 and 76960 is 5921379360.
LCM(76941,76960) = 5921379360
Least Common Multiple of 76941 and 76960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76941 and 76960, than apply into the LCM equation.
GCF(76941,76960) = 1
LCM(76941,76960) = ( 76941 × 76960) / 1
LCM(76941,76960) = 5921379360 / 1
LCM(76941,76960) = 5921379360
Least Common Multiple (LCM) of 76941 and 76960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76941 and 76960. First we will calculate the prime factors of 76941 and 76960.
Prime Factorization of 76941
Prime factors of 76941 are 3, 83, 103. Prime factorization of 76941 in exponential form is:
76941 = 32 × 831 × 1031
Prime Factorization of 76960
Prime factors of 76960 are 2, 5, 13, 37. Prime factorization of 76960 in exponential form is:
76960 = 25 × 51 × 131 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 76941 and 76960.
LCM(76941,76960) = 32 × 831 × 1031 × 25 × 51 × 131 × 371
LCM(76941,76960) = 5921379360
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