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What is the Least Common Multiple of 9496 and 9515?

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 9496 and 9515 is 90354440.

LCM(9496,9515) = 90354440

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Least Common Multiple of 9496 and 9515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9496 and 9515, than apply into the LCM equation.

GCF(9496,9515) = 1
LCM(9496,9515) = ( 9496 × 9515) / 1
LCM(9496,9515) = 90354440 / 1
LCM(9496,9515) = 90354440

Least Common Multiple (LCM) of 9496 and 9515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9496 and 9515. First we will calculate the prime factors of 9496 and 9515.

Prime Factorization of 9496

Prime factors of 9496 are 2, 1187. Prime factorization of 9496 in exponential form is:

9496 = 23 × 11871

Prime Factorization of 9515

Prime factors of 9515 are 5, 11, 173. Prime factorization of 9515 in exponential form is:

9515 = 51 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9496 and 9515.

LCM(9496,9515) = 23 × 11871 × 51 × 111 × 1731
LCM(9496,9515) = 90354440