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What is the Least Common Multiple of 4708 and 4725?

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 4708 and 4725 is 22245300.

LCM(4708,4725) = 22245300

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Least Common Multiple of 4708 and 4725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4708 and 4725, than apply into the LCM equation.

GCF(4708,4725) = 1
LCM(4708,4725) = ( 4708 × 4725) / 1
LCM(4708,4725) = 22245300 / 1
LCM(4708,4725) = 22245300

Least Common Multiple (LCM) of 4708 and 4725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4708 and 4725. First we will calculate the prime factors of 4708 and 4725.

Prime Factorization of 4708

Prime factors of 4708 are 2, 11, 107. Prime factorization of 4708 in exponential form is:

4708 = 22 × 111 × 1071

Prime Factorization of 4725

Prime factors of 4725 are 3, 5, 7. Prime factorization of 4725 in exponential form is:

4725 = 33 × 52 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 4708 and 4725.

LCM(4708,4725) = 22 × 111 × 1071 × 33 × 52 × 71
LCM(4708,4725) = 22245300