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What is the Least Common Multiple of 67102 and 67120?

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 67102 and 67120 is 2251943120.

LCM(67102,67120) = 2251943120

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Least Common Multiple of 67102 and 67120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67102 and 67120, than apply into the LCM equation.

GCF(67102,67120) = 2
LCM(67102,67120) = ( 67102 × 67120) / 2
LCM(67102,67120) = 4503886240 / 2
LCM(67102,67120) = 2251943120

Least Common Multiple (LCM) of 67102 and 67120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67102 and 67120. First we will calculate the prime factors of 67102 and 67120.

Prime Factorization of 67102

Prime factors of 67102 are 2, 7, 4793. Prime factorization of 67102 in exponential form is:

67102 = 21 × 71 × 47931

Prime Factorization of 67120

Prime factors of 67120 are 2, 5, 839. Prime factorization of 67120 in exponential form is:

67120 = 24 × 51 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 67102 and 67120.

LCM(67102,67120) = 24 × 71 × 47931 × 51 × 8391
LCM(67102,67120) = 2251943120