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What is the Least Common Multiple of 67261 and 67276?

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 67261 and 67276 is 4525051036.

LCM(67261,67276) = 4525051036

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Least Common Multiple of 67261 and 67276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67261 and 67276, than apply into the LCM equation.

GCF(67261,67276) = 1
LCM(67261,67276) = ( 67261 × 67276) / 1
LCM(67261,67276) = 4525051036 / 1
LCM(67261,67276) = 4525051036

Least Common Multiple (LCM) of 67261 and 67276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67261 and 67276. First we will calculate the prime factors of 67261 and 67276.

Prime Factorization of 67261

Prime factors of 67261 are 67261. Prime factorization of 67261 in exponential form is:

67261 = 672611

Prime Factorization of 67276

Prime factors of 67276 are 2, 11, 139. Prime factorization of 67276 in exponential form is:

67276 = 22 × 112 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 67261 and 67276.

LCM(67261,67276) = 672611 × 22 × 112 × 1391
LCM(67261,67276) = 4525051036