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What is the Least Common Multiple of 68489 and 68500?

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 68489 and 68500 is 4691496500.

LCM(68489,68500) = 4691496500

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Least Common Multiple of 68489 and 68500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68489 and 68500, than apply into the LCM equation.

GCF(68489,68500) = 1
LCM(68489,68500) = ( 68489 × 68500) / 1
LCM(68489,68500) = 4691496500 / 1
LCM(68489,68500) = 4691496500

Least Common Multiple (LCM) of 68489 and 68500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68489 and 68500. First we will calculate the prime factors of 68489 and 68500.

Prime Factorization of 68489

Prime factors of 68489 are 68489. Prime factorization of 68489 in exponential form is:

68489 = 684891

Prime Factorization of 68500

Prime factors of 68500 are 2, 5, 137. Prime factorization of 68500 in exponential form is:

68500 = 22 × 53 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 68489 and 68500.

LCM(68489,68500) = 684891 × 22 × 53 × 1371
LCM(68489,68500) = 4691496500