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What is the Least Common Multiple of 5035 and 5050?

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 5035 and 5050 is 5085350.

LCM(5035,5050) = 5085350

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Least Common Multiple of 5035 and 5050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5035 and 5050, than apply into the LCM equation.

GCF(5035,5050) = 5
LCM(5035,5050) = ( 5035 × 5050) / 5
LCM(5035,5050) = 25426750 / 5
LCM(5035,5050) = 5085350

Least Common Multiple (LCM) of 5035 and 5050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5050. First we will calculate the prime factors of 5035 and 5050.

Prime Factorization of 5035

Prime factors of 5035 are 5, 19, 53. Prime factorization of 5035 in exponential form is:

5035 = 51 × 191 × 531

Prime Factorization of 5050

Prime factors of 5050 are 2, 5, 101. Prime factorization of 5050 in exponential form is:

5050 = 21 × 52 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5050.

LCM(5035,5050) = 52 × 191 × 531 × 21 × 1011
LCM(5035,5050) = 5085350