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What is the Least Common Multiple of 2090 and 2098?

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 2090 and 2098 is 2192410.

LCM(2090,2098) = 2192410

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Least Common Multiple of 2090 and 2098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2090 and 2098, than apply into the LCM equation.

GCF(2090,2098) = 2
LCM(2090,2098) = ( 2090 × 2098) / 2
LCM(2090,2098) = 4384820 / 2
LCM(2090,2098) = 2192410

Least Common Multiple (LCM) of 2090 and 2098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2090 and 2098. First we will calculate the prime factors of 2090 and 2098.

Prime Factorization of 2090

Prime factors of 2090 are 2, 5, 11, 19. Prime factorization of 2090 in exponential form is:

2090 = 21 × 51 × 111 × 191

Prime Factorization of 2098

Prime factors of 2098 are 2, 1049. Prime factorization of 2098 in exponential form is:

2098 = 21 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 2090 and 2098.

LCM(2090,2098) = 21 × 51 × 111 × 191 × 10491
LCM(2090,2098) = 2192410