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What is the Least Common Multiple of 67234 and 67242?

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 67234 and 67242 is 2260474314.

LCM(67234,67242) = 2260474314

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Least Common Multiple of 67234 and 67242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67234 and 67242, than apply into the LCM equation.

GCF(67234,67242) = 2
LCM(67234,67242) = ( 67234 × 67242) / 2
LCM(67234,67242) = 4520948628 / 2
LCM(67234,67242) = 2260474314

Least Common Multiple (LCM) of 67234 and 67242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67234 and 67242. First we will calculate the prime factors of 67234 and 67242.

Prime Factorization of 67234

Prime factors of 67234 are 2, 33617. Prime factorization of 67234 in exponential form is:

67234 = 21 × 336171

Prime Factorization of 67242

Prime factors of 67242 are 2, 3, 7, 1601. Prime factorization of 67242 in exponential form is:

67242 = 21 × 31 × 71 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 67234 and 67242.

LCM(67234,67242) = 21 × 336171 × 31 × 71 × 16011
LCM(67234,67242) = 2260474314