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What is the Least Common Multiple of 4750 and 4765?

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 4750 and 4765 is 4526750.

LCM(4750,4765) = 4526750

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Least Common Multiple of 4750 and 4765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4750 and 4765, than apply into the LCM equation.

GCF(4750,4765) = 5
LCM(4750,4765) = ( 4750 × 4765) / 5
LCM(4750,4765) = 22633750 / 5
LCM(4750,4765) = 4526750

Least Common Multiple (LCM) of 4750 and 4765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4750 and 4765. First we will calculate the prime factors of 4750 and 4765.

Prime Factorization of 4750

Prime factors of 4750 are 2, 5, 19. Prime factorization of 4750 in exponential form is:

4750 = 21 × 53 × 191

Prime Factorization of 4765

Prime factors of 4765 are 5, 953. Prime factorization of 4765 in exponential form is:

4765 = 51 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 4750 and 4765.

LCM(4750,4765) = 21 × 53 × 191 × 9531
LCM(4750,4765) = 4526750