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What is the Least Common Multiple of 48921 and 48926?

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 48921 and 48926 is 2393508846.

LCM(48921,48926) = 2393508846

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Least Common Multiple of 48921 and 48926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48921 and 48926, than apply into the LCM equation.

GCF(48921,48926) = 1
LCM(48921,48926) = ( 48921 × 48926) / 1
LCM(48921,48926) = 2393508846 / 1
LCM(48921,48926) = 2393508846

Least Common Multiple (LCM) of 48921 and 48926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48921 and 48926. First we will calculate the prime factors of 48921 and 48926.

Prime Factorization of 48921

Prime factors of 48921 are 3, 23, 709. Prime factorization of 48921 in exponential form is:

48921 = 31 × 231 × 7091

Prime Factorization of 48926

Prime factors of 48926 are 2, 17, 1439. Prime factorization of 48926 in exponential form is:

48926 = 21 × 171 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 48921 and 48926.

LCM(48921,48926) = 31 × 231 × 7091 × 21 × 171 × 14391
LCM(48921,48926) = 2393508846