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What is the Least Common Multiple of 97918 and 97926?

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 97918 and 97926 is 4794359034.

LCM(97918,97926) = 4794359034

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Least Common Multiple of 97918 and 97926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97918 and 97926, than apply into the LCM equation.

GCF(97918,97926) = 2
LCM(97918,97926) = ( 97918 × 97926) / 2
LCM(97918,97926) = 9588718068 / 2
LCM(97918,97926) = 4794359034

Least Common Multiple (LCM) of 97918 and 97926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97918 and 97926. First we will calculate the prime factors of 97918 and 97926.

Prime Factorization of 97918

Prime factors of 97918 are 2, 173, 283. Prime factorization of 97918 in exponential form is:

97918 = 21 × 1731 × 2831

Prime Factorization of 97926

Prime factors of 97926 are 2, 3, 19, 859. Prime factorization of 97926 in exponential form is:

97926 = 21 × 31 × 191 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 97918 and 97926.

LCM(97918,97926) = 21 × 1731 × 2831 × 31 × 191 × 8591
LCM(97918,97926) = 4794359034