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What is the Least Common Multiple of 68675 and 68680?

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 68675 and 68680 is 943319800.

LCM(68675,68680) = 943319800

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Least Common Multiple of 68675 and 68680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68675 and 68680, than apply into the LCM equation.

GCF(68675,68680) = 5
LCM(68675,68680) = ( 68675 × 68680) / 5
LCM(68675,68680) = 4716599000 / 5
LCM(68675,68680) = 943319800

Least Common Multiple (LCM) of 68675 and 68680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68675 and 68680. First we will calculate the prime factors of 68675 and 68680.

Prime Factorization of 68675

Prime factors of 68675 are 5, 41, 67. Prime factorization of 68675 in exponential form is:

68675 = 52 × 411 × 671

Prime Factorization of 68680

Prime factors of 68680 are 2, 5, 17, 101. Prime factorization of 68680 in exponential form is:

68680 = 23 × 51 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 68675 and 68680.

LCM(68675,68680) = 52 × 411 × 671 × 23 × 171 × 1011
LCM(68675,68680) = 943319800