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What is the Least Common Multiple of 68898 and 68908?

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 68898 and 68908 is 2373811692.

LCM(68898,68908) = 2373811692

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Least Common Multiple of 68898 and 68908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68898 and 68908, than apply into the LCM equation.

GCF(68898,68908) = 2
LCM(68898,68908) = ( 68898 × 68908) / 2
LCM(68898,68908) = 4747623384 / 2
LCM(68898,68908) = 2373811692

Least Common Multiple (LCM) of 68898 and 68908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68898 and 68908. First we will calculate the prime factors of 68898 and 68908.

Prime Factorization of 68898

Prime factors of 68898 are 2, 3, 11483. Prime factorization of 68898 in exponential form is:

68898 = 21 × 31 × 114831

Prime Factorization of 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 22 × 71 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 68898 and 68908.

LCM(68898,68908) = 22 × 31 × 114831 × 71 × 231 × 1071
LCM(68898,68908) = 2373811692