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What is the Least Common Multiple of 48257 and 48264?

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 48257 and 48264 is 2329075848.

LCM(48257,48264) = 2329075848

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Least Common Multiple of 48257 and 48264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48257 and 48264, than apply into the LCM equation.

GCF(48257,48264) = 1
LCM(48257,48264) = ( 48257 × 48264) / 1
LCM(48257,48264) = 2329075848 / 1
LCM(48257,48264) = 2329075848

Least Common Multiple (LCM) of 48257 and 48264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48257 and 48264. First we will calculate the prime factors of 48257 and 48264.

Prime Factorization of 48257

Prime factors of 48257 are 11, 41, 107. Prime factorization of 48257 in exponential form is:

48257 = 111 × 411 × 1071

Prime Factorization of 48264

Prime factors of 48264 are 2, 3, 2011. Prime factorization of 48264 in exponential form is:

48264 = 23 × 31 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 48257 and 48264.

LCM(48257,48264) = 111 × 411 × 1071 × 23 × 31 × 20111
LCM(48257,48264) = 2329075848