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What is the Least Common Multiple of 48238 and 48243?

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 48238 and 48243 is 2327145834.

LCM(48238,48243) = 2327145834

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Least Common Multiple of 48238 and 48243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48238 and 48243, than apply into the LCM equation.

GCF(48238,48243) = 1
LCM(48238,48243) = ( 48238 × 48243) / 1
LCM(48238,48243) = 2327145834 / 1
LCM(48238,48243) = 2327145834

Least Common Multiple (LCM) of 48238 and 48243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48238 and 48243. First we will calculate the prime factors of 48238 and 48243.

Prime Factorization of 48238

Prime factors of 48238 are 2, 89, 271. Prime factorization of 48238 in exponential form is:

48238 = 21 × 891 × 2711

Prime Factorization of 48243

Prime factors of 48243 are 3, 13, 1237. Prime factorization of 48243 in exponential form is:

48243 = 31 × 131 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 48238 and 48243.

LCM(48238,48243) = 21 × 891 × 2711 × 31 × 131 × 12371
LCM(48238,48243) = 2327145834