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What is the Least Common Multiple of 61418 and 61426?

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 61418 and 61426 is 1886331034.

LCM(61418,61426) = 1886331034

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Least Common Multiple of 61418 and 61426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61418 and 61426, than apply into the LCM equation.

GCF(61418,61426) = 2
LCM(61418,61426) = ( 61418 × 61426) / 2
LCM(61418,61426) = 3772662068 / 2
LCM(61418,61426) = 1886331034

Least Common Multiple (LCM) of 61418 and 61426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61418 and 61426. First we will calculate the prime factors of 61418 and 61426.

Prime Factorization of 61418

Prime factors of 61418 are 2, 7, 41, 107. Prime factorization of 61418 in exponential form is:

61418 = 21 × 71 × 411 × 1071

Prime Factorization of 61426

Prime factors of 61426 are 2, 30713. Prime factorization of 61426 in exponential form is:

61426 = 21 × 307131

Now multiplying the highest exponent prime factors to calculate the LCM of 61418 and 61426.

LCM(61418,61426) = 21 × 71 × 411 × 1071 × 307131
LCM(61418,61426) = 1886331034