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What is the Least Common Multiple of 67438 and 67453?

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 67438 and 67453 is 4548895414.

LCM(67438,67453) = 4548895414

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Least Common Multiple of 67438 and 67453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67438 and 67453, than apply into the LCM equation.

GCF(67438,67453) = 1
LCM(67438,67453) = ( 67438 × 67453) / 1
LCM(67438,67453) = 4548895414 / 1
LCM(67438,67453) = 4548895414

Least Common Multiple (LCM) of 67438 and 67453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67438 and 67453. First we will calculate the prime factors of 67438 and 67453.

Prime Factorization of 67438

Prime factors of 67438 are 2, 7, 4817. Prime factorization of 67438 in exponential form is:

67438 = 21 × 71 × 48171

Prime Factorization of 67453

Prime factors of 67453 are 67453. Prime factorization of 67453 in exponential form is:

67453 = 674531

Now multiplying the highest exponent prime factors to calculate the LCM of 67438 and 67453.

LCM(67438,67453) = 21 × 71 × 48171 × 674531
LCM(67438,67453) = 4548895414