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What is the Least Common Multiple of 67215 and 67221?

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 67215 and 67221 is 1506086505.

LCM(67215,67221) = 1506086505

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Least Common Multiple of 67215 and 67221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67215 and 67221, than apply into the LCM equation.

GCF(67215,67221) = 3
LCM(67215,67221) = ( 67215 × 67221) / 3
LCM(67215,67221) = 4518259515 / 3
LCM(67215,67221) = 1506086505

Least Common Multiple (LCM) of 67215 and 67221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67215 and 67221. First we will calculate the prime factors of 67215 and 67221.

Prime Factorization of 67215

Prime factors of 67215 are 3, 5, 4481. Prime factorization of 67215 in exponential form is:

67215 = 31 × 51 × 44811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67215 and 67221.

LCM(67215,67221) = 32 × 51 × 44811 × 71 × 111 × 971
LCM(67215,67221) = 1506086505