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What is the Least Common Multiple of 61486 and 61495?

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 61486 and 61495 is 3781081570.

LCM(61486,61495) = 3781081570

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Least Common Multiple of 61486 and 61495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61486 and 61495, than apply into the LCM equation.

GCF(61486,61495) = 1
LCM(61486,61495) = ( 61486 × 61495) / 1
LCM(61486,61495) = 3781081570 / 1
LCM(61486,61495) = 3781081570

Least Common Multiple (LCM) of 61486 and 61495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61486 and 61495. First we will calculate the prime factors of 61486 and 61495.

Prime Factorization of 61486

Prime factors of 61486 are 2, 71, 433. Prime factorization of 61486 in exponential form is:

61486 = 21 × 711 × 4331

Prime Factorization of 61495

Prime factors of 61495 are 5, 7, 251. Prime factorization of 61495 in exponential form is:

61495 = 51 × 72 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 61486 and 61495.

LCM(61486,61495) = 21 × 711 × 4331 × 51 × 72 × 2511
LCM(61486,61495) = 3781081570