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What is the Least Common Multiple of 68680 and 68700?

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 68680 and 68700 is 235915800.

LCM(68680,68700) = 235915800

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Least Common Multiple of 68680 and 68700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68680 and 68700, than apply into the LCM equation.

GCF(68680,68700) = 20
LCM(68680,68700) = ( 68680 × 68700) / 20
LCM(68680,68700) = 4718316000 / 20
LCM(68680,68700) = 235915800

Least Common Multiple (LCM) of 68680 and 68700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68680 and 68700. First we will calculate the prime factors of 68680 and 68700.

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

Prime Factorization of 68700

Prime factors of 68700 are 2, 3, 5, 229. Prime factorization of 68700 in exponential form is:

68700 = 22 × 31 × 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 68680 and 68700.

LCM(68680,68700) = 23 × 52 × 171 × 1011 × 31 × 2291
LCM(68680,68700) = 235915800