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What is the Least Common Multiple of 48655 and 48662?

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 48655 and 48662 is 2367649610.

LCM(48655,48662) = 2367649610

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Least Common Multiple of 48655 and 48662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48655 and 48662, than apply into the LCM equation.

GCF(48655,48662) = 1
LCM(48655,48662) = ( 48655 × 48662) / 1
LCM(48655,48662) = 2367649610 / 1
LCM(48655,48662) = 2367649610

Least Common Multiple (LCM) of 48655 and 48662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48655 and 48662. First we will calculate the prime factors of 48655 and 48662.

Prime Factorization of 48655

Prime factors of 48655 are 5, 37, 263. Prime factorization of 48655 in exponential form is:

48655 = 51 × 371 × 2631

Prime Factorization of 48662

Prime factors of 48662 are 2, 29, 839. Prime factorization of 48662 in exponential form is:

48662 = 21 × 291 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 48655 and 48662.

LCM(48655,48662) = 51 × 371 × 2631 × 21 × 291 × 8391
LCM(48655,48662) = 2367649610