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What is the Least Common Multiple of 68421 and 68431?

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 68421 and 68431 is 4682117451.

LCM(68421,68431) = 4682117451

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Least Common Multiple of 68421 and 68431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68421 and 68431, than apply into the LCM equation.

GCF(68421,68431) = 1
LCM(68421,68431) = ( 68421 × 68431) / 1
LCM(68421,68431) = 4682117451 / 1
LCM(68421,68431) = 4682117451

Least Common Multiple (LCM) of 68421 and 68431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68421 and 68431. First we will calculate the prime factors of 68421 and 68431.

Prime Factorization of 68421

Prime factors of 68421 are 3, 22807. Prime factorization of 68421 in exponential form is:

68421 = 31 × 228071

Prime Factorization of 68431

Prime factors of 68431 are 11, 6221. Prime factorization of 68431 in exponential form is:

68431 = 111 × 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 68421 and 68431.

LCM(68421,68431) = 31 × 228071 × 111 × 62211
LCM(68421,68431) = 4682117451