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What is the Least Common Multiple of 68966 and 68984?

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 68966 and 68984 is 2378775272.

LCM(68966,68984) = 2378775272

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Least Common Multiple of 68966 and 68984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68966 and 68984, than apply into the LCM equation.

GCF(68966,68984) = 2
LCM(68966,68984) = ( 68966 × 68984) / 2
LCM(68966,68984) = 4757550544 / 2
LCM(68966,68984) = 2378775272

Least Common Multiple (LCM) of 68966 and 68984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68966 and 68984. First we will calculate the prime factors of 68966 and 68984.

Prime Factorization of 68966

Prime factors of 68966 are 2, 34483. Prime factorization of 68966 in exponential form is:

68966 = 21 × 344831

Prime Factorization of 68984

Prime factors of 68984 are 2, 8623. Prime factorization of 68984 in exponential form is:

68984 = 23 × 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 68966 and 68984.

LCM(68966,68984) = 23 × 344831 × 86231
LCM(68966,68984) = 2378775272