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What is the Least Common Multiple of 90918 and 90926?

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 90918 and 90926 is 4133405034.

LCM(90918,90926) = 4133405034

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Least Common Multiple of 90918 and 90926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90918 and 90926, than apply into the LCM equation.

GCF(90918,90926) = 2
LCM(90918,90926) = ( 90918 × 90926) / 2
LCM(90918,90926) = 8266810068 / 2
LCM(90918,90926) = 4133405034

Least Common Multiple (LCM) of 90918 and 90926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90918 and 90926. First we will calculate the prime factors of 90918 and 90926.

Prime Factorization of 90918

Prime factors of 90918 are 2, 3, 5051. Prime factorization of 90918 in exponential form is:

90918 = 21 × 32 × 50511

Prime Factorization of 90926

Prime factors of 90926 are 2, 11, 4133. Prime factorization of 90926 in exponential form is:

90926 = 21 × 111 × 41331

Now multiplying the highest exponent prime factors to calculate the LCM of 90918 and 90926.

LCM(90918,90926) = 21 × 32 × 50511 × 111 × 41331
LCM(90918,90926) = 4133405034