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What is the Least Common Multiple of 67902 and 67919?

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 67902 and 67919 is 4611835938.

LCM(67902,67919) = 4611835938

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Least Common Multiple of 67902 and 67919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67902 and 67919, than apply into the LCM equation.

GCF(67902,67919) = 1
LCM(67902,67919) = ( 67902 × 67919) / 1
LCM(67902,67919) = 4611835938 / 1
LCM(67902,67919) = 4611835938

Least Common Multiple (LCM) of 67902 and 67919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67902 and 67919. First we will calculate the prime factors of 67902 and 67919.

Prime Factorization of 67902

Prime factors of 67902 are 2, 3, 11317. Prime factorization of 67902 in exponential form is:

67902 = 21 × 31 × 113171

Prime Factorization of 67919

Prime factors of 67919 are 23, 2953. Prime factorization of 67919 in exponential form is:

67919 = 231 × 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 67902 and 67919.

LCM(67902,67919) = 21 × 31 × 113171 × 231 × 29531
LCM(67902,67919) = 4611835938