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What is the Least Common Multiple of 61273 and 61278?

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 61273 and 61278 is 3754686894.

LCM(61273,61278) = 3754686894

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Least Common Multiple of 61273 and 61278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61273 and 61278, than apply into the LCM equation.

GCF(61273,61278) = 1
LCM(61273,61278) = ( 61273 × 61278) / 1
LCM(61273,61278) = 3754686894 / 1
LCM(61273,61278) = 3754686894

Least Common Multiple (LCM) of 61273 and 61278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61273 and 61278. First we will calculate the prime factors of 61273 and 61278.

Prime Factorization of 61273

Prime factors of 61273 are 71, 863. Prime factorization of 61273 in exponential form is:

61273 = 711 × 8631

Prime Factorization of 61278

Prime factors of 61278 are 2, 3, 7, 1459. Prime factorization of 61278 in exponential form is:

61278 = 21 × 31 × 71 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 61273 and 61278.

LCM(61273,61278) = 711 × 8631 × 21 × 31 × 71 × 14591
LCM(61273,61278) = 3754686894