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What is the Least Common Multiple of 67471 and 67478?

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 67471 and 67478 is 4552808138.

LCM(67471,67478) = 4552808138

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Least Common Multiple of 67471 and 67478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67471 and 67478, than apply into the LCM equation.

GCF(67471,67478) = 1
LCM(67471,67478) = ( 67471 × 67478) / 1
LCM(67471,67478) = 4552808138 / 1
LCM(67471,67478) = 4552808138

Least Common Multiple (LCM) of 67471 and 67478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67471 and 67478. First we will calculate the prime factors of 67471 and 67478.

Prime Factorization of 67471

Prime factors of 67471 are 109, 619. Prime factorization of 67471 in exponential form is:

67471 = 1091 × 6191

Prime Factorization of 67478

Prime factors of 67478 are 2, 33739. Prime factorization of 67478 in exponential form is:

67478 = 21 × 337391

Now multiplying the highest exponent prime factors to calculate the LCM of 67471 and 67478.

LCM(67471,67478) = 1091 × 6191 × 21 × 337391
LCM(67471,67478) = 4552808138