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What is the Least Common Multiple of 61478 and 61482?

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 61478 and 61482 is 1889895198.

LCM(61478,61482) = 1889895198

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Least Common Multiple of 61478 and 61482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61478 and 61482, than apply into the LCM equation.

GCF(61478,61482) = 2
LCM(61478,61482) = ( 61478 × 61482) / 2
LCM(61478,61482) = 3779790396 / 2
LCM(61478,61482) = 1889895198

Least Common Multiple (LCM) of 61478 and 61482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61478 and 61482. First we will calculate the prime factors of 61478 and 61482.

Prime Factorization of 61478

Prime factors of 61478 are 2, 59, 521. Prime factorization of 61478 in exponential form is:

61478 = 21 × 591 × 5211

Prime Factorization of 61482

Prime factors of 61482 are 2, 3, 10247. Prime factorization of 61482 in exponential form is:

61482 = 21 × 31 × 102471

Now multiplying the highest exponent prime factors to calculate the LCM of 61478 and 61482.

LCM(61478,61482) = 21 × 591 × 5211 × 31 × 102471
LCM(61478,61482) = 1889895198