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What is the Least Common Multiple of 4335 and 4355?

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 4335 and 4355 is 3775785.

LCM(4335,4355) = 3775785

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Least Common Multiple of 4335 and 4355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4335 and 4355, than apply into the LCM equation.

GCF(4335,4355) = 5
LCM(4335,4355) = ( 4335 × 4355) / 5
LCM(4335,4355) = 18878925 / 5
LCM(4335,4355) = 3775785

Least Common Multiple (LCM) of 4335 and 4355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4335 and 4355. First we will calculate the prime factors of 4335 and 4355.

Prime Factorization of 4335

Prime factors of 4335 are 3, 5, 17. Prime factorization of 4335 in exponential form is:

4335 = 31 × 51 × 172

Prime Factorization of 4355

Prime factors of 4355 are 5, 13, 67. Prime factorization of 4355 in exponential form is:

4355 = 51 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4335 and 4355.

LCM(4335,4355) = 31 × 51 × 172 × 131 × 671
LCM(4335,4355) = 3775785