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What is the Least Common Multiple of 18282 and 18290?

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 18282 and 18290 is 167188890.

LCM(18282,18290) = 167188890

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Least Common Multiple of 18282 and 18290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18282 and 18290, than apply into the LCM equation.

GCF(18282,18290) = 2
LCM(18282,18290) = ( 18282 × 18290) / 2
LCM(18282,18290) = 334377780 / 2
LCM(18282,18290) = 167188890

Least Common Multiple (LCM) of 18282 and 18290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18282 and 18290. First we will calculate the prime factors of 18282 and 18290.

Prime Factorization of 18282

Prime factors of 18282 are 2, 3, 11, 277. Prime factorization of 18282 in exponential form is:

18282 = 21 × 31 × 111 × 2771

Prime Factorization of 18290

Prime factors of 18290 are 2, 5, 31, 59. Prime factorization of 18290 in exponential form is:

18290 = 21 × 51 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18282 and 18290.

LCM(18282,18290) = 21 × 31 × 111 × 2771 × 51 × 311 × 591
LCM(18282,18290) = 167188890