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What is the Least Common Multiple of 48730 and 48737?

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 48730 and 48737 is 2374954010.

LCM(48730,48737) = 2374954010

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Least Common Multiple of 48730 and 48737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48730 and 48737, than apply into the LCM equation.

GCF(48730,48737) = 1
LCM(48730,48737) = ( 48730 × 48737) / 1
LCM(48730,48737) = 2374954010 / 1
LCM(48730,48737) = 2374954010

Least Common Multiple (LCM) of 48730 and 48737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48730 and 48737. First we will calculate the prime factors of 48730 and 48737.

Prime Factorization of 48730

Prime factors of 48730 are 2, 5, 11, 443. Prime factorization of 48730 in exponential form is:

48730 = 21 × 51 × 111 × 4431

Prime Factorization of 48737

Prime factors of 48737 are 13, 23, 163. Prime factorization of 48737 in exponential form is:

48737 = 131 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 48730 and 48737.

LCM(48730,48737) = 21 × 51 × 111 × 4431 × 131 × 231 × 1631
LCM(48730,48737) = 2374954010