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What is the Least Common Multiple of 5025 and 5033?

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 5025 and 5033 is 25290825.

LCM(5025,5033) = 25290825

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Least Common Multiple of 5025 and 5033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5025 and 5033, than apply into the LCM equation.

GCF(5025,5033) = 1
LCM(5025,5033) = ( 5025 × 5033) / 1
LCM(5025,5033) = 25290825 / 1
LCM(5025,5033) = 25290825

Least Common Multiple (LCM) of 5025 and 5033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5025 and 5033. First we will calculate the prime factors of 5025 and 5033.

Prime Factorization of 5025

Prime factors of 5025 are 3, 5, 67. Prime factorization of 5025 in exponential form is:

5025 = 31 × 52 × 671

Prime Factorization of 5033

Prime factors of 5033 are 7, 719. Prime factorization of 5033 in exponential form is:

5033 = 71 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 5025 and 5033.

LCM(5025,5033) = 31 × 52 × 671 × 71 × 7191
LCM(5025,5033) = 25290825