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What is the Least Common Multiple of 68462 and 68480?

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 68462 and 68480 is 2344138880.

LCM(68462,68480) = 2344138880

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Least Common Multiple of 68462 and 68480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68462 and 68480, than apply into the LCM equation.

GCF(68462,68480) = 2
LCM(68462,68480) = ( 68462 × 68480) / 2
LCM(68462,68480) = 4688277760 / 2
LCM(68462,68480) = 2344138880

Least Common Multiple (LCM) of 68462 and 68480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68462 and 68480. First we will calculate the prime factors of 68462 and 68480.

Prime Factorization of 68462

Prime factors of 68462 are 2, 34231. Prime factorization of 68462 in exponential form is:

68462 = 21 × 342311

Prime Factorization of 68480

Prime factors of 68480 are 2, 5, 107. Prime factorization of 68480 in exponential form is:

68480 = 27 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 68462 and 68480.

LCM(68462,68480) = 27 × 342311 × 51 × 1071
LCM(68462,68480) = 2344138880