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What is the Least Common Multiple of 94510 and 94523?

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 94510 and 94523 is 687182210.

LCM(94510,94523) = 687182210

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Least Common Multiple of 94510 and 94523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94510 and 94523, than apply into the LCM equation.

GCF(94510,94523) = 13
LCM(94510,94523) = ( 94510 × 94523) / 13
LCM(94510,94523) = 8933368730 / 13
LCM(94510,94523) = 687182210

Least Common Multiple (LCM) of 94510 and 94523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94510 and 94523. First we will calculate the prime factors of 94510 and 94523.

Prime Factorization of 94510

Prime factors of 94510 are 2, 5, 13, 727. Prime factorization of 94510 in exponential form is:

94510 = 21 × 51 × 131 × 7271

Prime Factorization of 94523

Prime factors of 94523 are 11, 13, 661. Prime factorization of 94523 in exponential form is:

94523 = 111 × 131 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 94510 and 94523.

LCM(94510,94523) = 21 × 51 × 131 × 7271 × 111 × 6611
LCM(94510,94523) = 687182210