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What is the Least Common Multiple of 67221 and 67226?

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 67221 and 67226 is 4518998946.

LCM(67221,67226) = 4518998946

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Least Common Multiple of 67221 and 67226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67221 and 67226, than apply into the LCM equation.

GCF(67221,67226) = 1
LCM(67221,67226) = ( 67221 × 67226) / 1
LCM(67221,67226) = 4518998946 / 1
LCM(67221,67226) = 4518998946

Least Common Multiple (LCM) of 67221 and 67226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67221 and 67226. First we will calculate the prime factors of 67221 and 67226.

Prime Factorization of 67221

Prime factors of 67221 are 3, 7, 11, 97. Prime factorization of 67221 in exponential form is:

67221 = 32 × 71 × 111 × 971

Prime Factorization of 67226

Prime factors of 67226 are 2, 33613. Prime factorization of 67226 in exponential form is:

67226 = 21 × 336131

Now multiplying the highest exponent prime factors to calculate the LCM of 67221 and 67226.

LCM(67221,67226) = 32 × 71 × 111 × 971 × 21 × 336131
LCM(67221,67226) = 4518998946