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What is the Least Common Multiple of 48763 and 48780?

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 48763 and 48780 is 2378659140.

LCM(48763,48780) = 2378659140

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Least Common Multiple of 48763 and 48780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48763 and 48780, than apply into the LCM equation.

GCF(48763,48780) = 1
LCM(48763,48780) = ( 48763 × 48780) / 1
LCM(48763,48780) = 2378659140 / 1
LCM(48763,48780) = 2378659140

Least Common Multiple (LCM) of 48763 and 48780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48763 and 48780. First we will calculate the prime factors of 48763 and 48780.

Prime Factorization of 48763

Prime factors of 48763 are 11, 13, 31. Prime factorization of 48763 in exponential form is:

48763 = 112 × 131 × 311

Prime Factorization of 48780

Prime factors of 48780 are 2, 3, 5, 271. Prime factorization of 48780 in exponential form is:

48780 = 22 × 32 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 48763 and 48780.

LCM(48763,48780) = 112 × 131 × 311 × 22 × 32 × 51 × 2711
LCM(48763,48780) = 2378659140