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What is the Least Common Multiple of 68968 and 68974?

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 68968 and 68974 is 2378499416.

LCM(68968,68974) = 2378499416

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Least Common Multiple of 68968 and 68974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68968 and 68974, than apply into the LCM equation.

GCF(68968,68974) = 2
LCM(68968,68974) = ( 68968 × 68974) / 2
LCM(68968,68974) = 4756998832 / 2
LCM(68968,68974) = 2378499416

Least Common Multiple (LCM) of 68968 and 68974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68968 and 68974. First we will calculate the prime factors of 68968 and 68974.

Prime Factorization of 68968

Prime factors of 68968 are 2, 37, 233. Prime factorization of 68968 in exponential form is:

68968 = 23 × 371 × 2331

Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 21 × 344871

Now multiplying the highest exponent prime factors to calculate the LCM of 68968 and 68974.

LCM(68968,68974) = 23 × 371 × 2331 × 344871
LCM(68968,68974) = 2378499416