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What is the Least Common Multiple of 68846 and 68860?

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 68846 and 68860 is 2370367780.

LCM(68846,68860) = 2370367780

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Least Common Multiple of 68846 and 68860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68846 and 68860, than apply into the LCM equation.

GCF(68846,68860) = 2
LCM(68846,68860) = ( 68846 × 68860) / 2
LCM(68846,68860) = 4740735560 / 2
LCM(68846,68860) = 2370367780

Least Common Multiple (LCM) of 68846 and 68860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68846 and 68860. First we will calculate the prime factors of 68846 and 68860.

Prime Factorization of 68846

Prime factors of 68846 are 2, 29, 1187. Prime factorization of 68846 in exponential form is:

68846 = 21 × 291 × 11871

Prime Factorization of 68860

Prime factors of 68860 are 2, 5, 11, 313. Prime factorization of 68860 in exponential form is:

68860 = 22 × 51 × 111 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 68846 and 68860.

LCM(68846,68860) = 22 × 291 × 11871 × 51 × 111 × 3131
LCM(68846,68860) = 2370367780