What is the Least Common Multiple of 96476 and 96490?
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 96476 and 96490 is 4654484620.
LCM(96476,96490) = 4654484620
Least Common Multiple of 96476 and 96490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96476 and 96490, than apply into the LCM equation.
GCF(96476,96490) = 2
LCM(96476,96490) = ( 96476 × 96490) / 2
LCM(96476,96490) = 9308969240 / 2
LCM(96476,96490) = 4654484620
Least Common Multiple (LCM) of 96476 and 96490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96476 and 96490. First we will calculate the prime factors of 96476 and 96490.
Prime Factorization of 96476
Prime factors of 96476 are 2, 89, 271. Prime factorization of 96476 in exponential form is:
96476 = 22 × 891 × 2711
Prime Factorization of 96490
Prime factors of 96490 are 2, 5, 9649. Prime factorization of 96490 in exponential form is:
96490 = 21 × 51 × 96491
Now multiplying the highest exponent prime factors to calculate the LCM of 96476 and 96490.
LCM(96476,96490) = 22 × 891 × 2711 × 51 × 96491
LCM(96476,96490) = 4654484620
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