What is the Least Common Multiple of 96570 and 96580?
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 96570 and 96580 is 932673060.
LCM(96570,96580) = 932673060
Least Common Multiple of 96570 and 96580 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96570 and 96580, than apply into the LCM equation.
GCF(96570,96580) = 10
LCM(96570,96580) = ( 96570 × 96580) / 10
LCM(96570,96580) = 9326730600 / 10
LCM(96570,96580) = 932673060
Least Common Multiple (LCM) of 96570 and 96580 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96570 and 96580. First we will calculate the prime factors of 96570 and 96580.
Prime Factorization of 96570
Prime factors of 96570 are 2, 3, 5, 29, 37. Prime factorization of 96570 in exponential form is:
96570 = 21 × 32 × 51 × 291 × 371
Prime Factorization of 96580
Prime factors of 96580 are 2, 5, 11, 439. Prime factorization of 96580 in exponential form is:
96580 = 22 × 51 × 111 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 96570 and 96580.
LCM(96570,96580) = 22 × 32 × 51 × 291 × 371 × 111 × 4391
LCM(96570,96580) = 932673060
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