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What is the Least Common Multiple of 38918 and 38924?

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 38918 and 38924 is 757422116.

LCM(38918,38924) = 757422116

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Least Common Multiple of 38918 and 38924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38918 and 38924, than apply into the LCM equation.

GCF(38918,38924) = 2
LCM(38918,38924) = ( 38918 × 38924) / 2
LCM(38918,38924) = 1514844232 / 2
LCM(38918,38924) = 757422116

Least Common Multiple (LCM) of 38918 and 38924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38918 and 38924. First we will calculate the prime factors of 38918 and 38924.

Prime Factorization of 38918

Prime factors of 38918 are 2, 11, 29, 61. Prime factorization of 38918 in exponential form is:

38918 = 21 × 111 × 291 × 611

Prime Factorization of 38924

Prime factors of 38924 are 2, 37, 263. Prime factorization of 38924 in exponential form is:

38924 = 22 × 371 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 38918 and 38924.

LCM(38918,38924) = 22 × 111 × 291 × 611 × 371 × 2631
LCM(38918,38924) = 757422116