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What is the Least Common Multiple of 67053 and 67059?

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 67053 and 67059 is 1498835709.

LCM(67053,67059) = 1498835709

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Least Common Multiple of 67053 and 67059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67053 and 67059, than apply into the LCM equation.

GCF(67053,67059) = 3
LCM(67053,67059) = ( 67053 × 67059) / 3
LCM(67053,67059) = 4496507127 / 3
LCM(67053,67059) = 1498835709

Least Common Multiple (LCM) of 67053 and 67059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67053 and 67059. First we will calculate the prime factors of 67053 and 67059.

Prime Factorization of 67053

Prime factors of 67053 are 3, 7, 31, 103. Prime factorization of 67053 in exponential form is:

67053 = 31 × 71 × 311 × 1031

Prime Factorization of 67059

Prime factors of 67059 are 3, 7451. Prime factorization of 67059 in exponential form is:

67059 = 32 × 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 67053 and 67059.

LCM(67053,67059) = 32 × 71 × 311 × 1031 × 74511
LCM(67053,67059) = 1498835709