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What is the Least Common Multiple of 18921 and 18925?

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 18921 and 18925 is 358079925.

LCM(18921,18925) = 358079925

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Least Common Multiple of 18921 and 18925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18921 and 18925, than apply into the LCM equation.

GCF(18921,18925) = 1
LCM(18921,18925) = ( 18921 × 18925) / 1
LCM(18921,18925) = 358079925 / 1
LCM(18921,18925) = 358079925

Least Common Multiple (LCM) of 18921 and 18925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18921 and 18925. First we will calculate the prime factors of 18921 and 18925.

Prime Factorization of 18921

Prime factors of 18921 are 3, 7, 17, 53. Prime factorization of 18921 in exponential form is:

18921 = 31 × 71 × 171 × 531

Prime Factorization of 18925

Prime factors of 18925 are 5, 757. Prime factorization of 18925 in exponential form is:

18925 = 52 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 18921 and 18925.

LCM(18921,18925) = 31 × 71 × 171 × 531 × 52 × 7571
LCM(18921,18925) = 358079925