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What is the Least Common Multiple of 94498 and 94509?

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 94498 and 94509 is 8930911482.

LCM(94498,94509) = 8930911482

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Least Common Multiple of 94498 and 94509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94498 and 94509, than apply into the LCM equation.

GCF(94498,94509) = 1
LCM(94498,94509) = ( 94498 × 94509) / 1
LCM(94498,94509) = 8930911482 / 1
LCM(94498,94509) = 8930911482

Least Common Multiple (LCM) of 94498 and 94509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94498 and 94509. First we will calculate the prime factors of 94498 and 94509.

Prime Factorization of 94498

Prime factors of 94498 are 2, 37, 1277. Prime factorization of 94498 in exponential form is:

94498 = 21 × 371 × 12771

Prime Factorization of 94509

Prime factors of 94509 are 3, 10501. Prime factorization of 94509 in exponential form is:

94509 = 32 × 105011

Now multiplying the highest exponent prime factors to calculate the LCM of 94498 and 94509.

LCM(94498,94509) = 21 × 371 × 12771 × 32 × 105011
LCM(94498,94509) = 8930911482