What is the Least Common Multiple of 96960 and 96965?
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 96960 and 96965 is 1880345280.
LCM(96960,96965) = 1880345280
Least Common Multiple of 96960 and 96965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96960 and 96965, than apply into the LCM equation.
GCF(96960,96965) = 5
LCM(96960,96965) = ( 96960 × 96965) / 5
LCM(96960,96965) = 9401726400 / 5
LCM(96960,96965) = 1880345280
Least Common Multiple (LCM) of 96960 and 96965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96960 and 96965. First we will calculate the prime factors of 96960 and 96965.
Prime Factorization of 96960
Prime factors of 96960 are 2, 3, 5, 101. Prime factorization of 96960 in exponential form is:
96960 = 26 × 31 × 51 × 1011
Prime Factorization of 96965
Prime factors of 96965 are 5, 11, 41, 43. Prime factorization of 96965 in exponential form is:
96965 = 51 × 111 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 96960 and 96965.
LCM(96960,96965) = 26 × 31 × 51 × 1011 × 111 × 411 × 431
LCM(96960,96965) = 1880345280
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