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What is the Least Common Multiple of 47498 and 47515?

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 47498 and 47515 is 132756910.

LCM(47498,47515) = 132756910

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Least Common Multiple of 47498 and 47515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47498 and 47515, than apply into the LCM equation.

GCF(47498,47515) = 17
LCM(47498,47515) = ( 47498 × 47515) / 17
LCM(47498,47515) = 2256867470 / 17
LCM(47498,47515) = 132756910

Least Common Multiple (LCM) of 47498 and 47515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47498 and 47515. First we will calculate the prime factors of 47498 and 47515.

Prime Factorization of 47498

Prime factors of 47498 are 2, 11, 17, 127. Prime factorization of 47498 in exponential form is:

47498 = 21 × 111 × 171 × 1271

Prime Factorization of 47515

Prime factors of 47515 are 5, 13, 17, 43. Prime factorization of 47515 in exponential form is:

47515 = 51 × 131 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 47498 and 47515.

LCM(47498,47515) = 21 × 111 × 171 × 1271 × 51 × 131 × 431
LCM(47498,47515) = 132756910

Related Least Common Multiples of 47498

Related Least Common Multiples of 47515