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What is the Least Common Multiple of 4185 and 4202?

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 4185 and 4202 is 17585370.

LCM(4185,4202) = 17585370

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Least Common Multiple of 4185 and 4202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4185 and 4202, than apply into the LCM equation.

GCF(4185,4202) = 1
LCM(4185,4202) = ( 4185 × 4202) / 1
LCM(4185,4202) = 17585370 / 1
LCM(4185,4202) = 17585370

Least Common Multiple (LCM) of 4185 and 4202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4202. First we will calculate the prime factors of 4185 and 4202.

Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 33 × 51 × 311

Prime Factorization of 4202

Prime factors of 4202 are 2, 11, 191. Prime factorization of 4202 in exponential form is:

4202 = 21 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4202.

LCM(4185,4202) = 33 × 51 × 311 × 21 × 111 × 1911
LCM(4185,4202) = 17585370