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What is the Least Common Multiple of 96043 and 96063?

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 96043 and 96063 is 9226178709.

LCM(96043,96063) = 9226178709

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Least Common Multiple of 96043 and 96063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96043 and 96063, than apply into the LCM equation.

GCF(96043,96063) = 1
LCM(96043,96063) = ( 96043 × 96063) / 1
LCM(96043,96063) = 9226178709 / 1
LCM(96043,96063) = 9226178709

Least Common Multiple (LCM) of 96043 and 96063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96043 and 96063. First we will calculate the prime factors of 96043 and 96063.

Prime Factorization of 96043

Prime factors of 96043 are 96043. Prime factorization of 96043 in exponential form is:

96043 = 960431

Prime Factorization of 96063

Prime factors of 96063 are 3, 11, 41, 71. Prime factorization of 96063 in exponential form is:

96063 = 31 × 111 × 411 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 96043 and 96063.

LCM(96043,96063) = 960431 × 31 × 111 × 411 × 711
LCM(96043,96063) = 9226178709