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What is the Least Common Multiple of 5335 and 5350?

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 5335 and 5350 is 5708450.

LCM(5335,5350) = 5708450

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Least Common Multiple of 5335 and 5350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5335 and 5350, than apply into the LCM equation.

GCF(5335,5350) = 5
LCM(5335,5350) = ( 5335 × 5350) / 5
LCM(5335,5350) = 28542250 / 5
LCM(5335,5350) = 5708450

Least Common Multiple (LCM) of 5335 and 5350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5335 and 5350. First we will calculate the prime factors of 5335 and 5350.

Prime Factorization of 5335

Prime factors of 5335 are 5, 11, 97. Prime factorization of 5335 in exponential form is:

5335 = 51 × 111 × 971

Prime Factorization of 5350

Prime factors of 5350 are 2, 5, 107. Prime factorization of 5350 in exponential form is:

5350 = 21 × 52 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5335 and 5350.

LCM(5335,5350) = 52 × 111 × 971 × 21 × 1071
LCM(5335,5350) = 5708450