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What is the Least Common Multiple of 65956 and 65974?

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 65956 and 65974 is 2175690572.

LCM(65956,65974) = 2175690572

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Least Common Multiple of 65956 and 65974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65956 and 65974, than apply into the LCM equation.

GCF(65956,65974) = 2
LCM(65956,65974) = ( 65956 × 65974) / 2
LCM(65956,65974) = 4351381144 / 2
LCM(65956,65974) = 2175690572

Least Common Multiple (LCM) of 65956 and 65974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65956 and 65974. First we will calculate the prime factors of 65956 and 65974.

Prime Factorization of 65956

Prime factors of 65956 are 2, 11, 1499. Prime factorization of 65956 in exponential form is:

65956 = 22 × 111 × 14991

Prime Factorization of 65974

Prime factors of 65974 are 2, 32987. Prime factorization of 65974 in exponential form is:

65974 = 21 × 329871

Now multiplying the highest exponent prime factors to calculate the LCM of 65956 and 65974.

LCM(65956,65974) = 22 × 111 × 14991 × 329871
LCM(65956,65974) = 2175690572