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What is the Least Common Multiple of 68692 and 68706?

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 68692 and 68706 is 2359776276.

LCM(68692,68706) = 2359776276

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Least Common Multiple of 68692 and 68706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68692 and 68706, than apply into the LCM equation.

GCF(68692,68706) = 2
LCM(68692,68706) = ( 68692 × 68706) / 2
LCM(68692,68706) = 4719552552 / 2
LCM(68692,68706) = 2359776276

Least Common Multiple (LCM) of 68692 and 68706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68692 and 68706. First we will calculate the prime factors of 68692 and 68706.

Prime Factorization of 68692

Prime factors of 68692 are 2, 13, 1321. Prime factorization of 68692 in exponential form is:

68692 = 22 × 131 × 13211

Prime Factorization of 68706

Prime factors of 68706 are 2, 3, 11, 347. Prime factorization of 68706 in exponential form is:

68706 = 21 × 32 × 111 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 68692 and 68706.

LCM(68692,68706) = 22 × 131 × 13211 × 32 × 111 × 3471
LCM(68692,68706) = 2359776276