What is the Least Common Multiple of 96362 and 96377?
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 96362 and 96377 is 9287080474.
LCM(96362,96377) = 9287080474
Least Common Multiple of 96362 and 96377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96362 and 96377, than apply into the LCM equation.
GCF(96362,96377) = 1
LCM(96362,96377) = ( 96362 × 96377) / 1
LCM(96362,96377) = 9287080474 / 1
LCM(96362,96377) = 9287080474
Least Common Multiple (LCM) of 96362 and 96377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96362 and 96377. First we will calculate the prime factors of 96362 and 96377.
Prime Factorization of 96362
Prime factors of 96362 are 2, 7, 6883. Prime factorization of 96362 in exponential form is:
96362 = 21 × 71 × 68831
Prime Factorization of 96377
Prime factors of 96377 are 96377. Prime factorization of 96377 in exponential form is:
96377 = 963771
Now multiplying the highest exponent prime factors to calculate the LCM of 96362 and 96377.
LCM(96362,96377) = 21 × 71 × 68831 × 963771
LCM(96362,96377) = 9287080474
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