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What is the Least Common Multiple of 68926 and 68930?

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 68926 and 68930 is 2375534590.

LCM(68926,68930) = 2375534590

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Least Common Multiple of 68926 and 68930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68926 and 68930, than apply into the LCM equation.

GCF(68926,68930) = 2
LCM(68926,68930) = ( 68926 × 68930) / 2
LCM(68926,68930) = 4751069180 / 2
LCM(68926,68930) = 2375534590

Least Common Multiple (LCM) of 68926 and 68930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68926 and 68930. First we will calculate the prime factors of 68926 and 68930.

Prime Factorization of 68926

Prime factors of 68926 are 2, 11, 13, 241. Prime factorization of 68926 in exponential form is:

68926 = 21 × 111 × 131 × 2411

Prime Factorization of 68930

Prime factors of 68930 are 2, 5, 61, 113. Prime factorization of 68930 in exponential form is:

68930 = 21 × 51 × 611 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68926 and 68930.

LCM(68926,68930) = 21 × 111 × 131 × 2411 × 51 × 611 × 1131
LCM(68926,68930) = 2375534590