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What is the Least Common Multiple of 67962 and 67982?

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 67962 and 67982 is 2310096342.

LCM(67962,67982) = 2310096342

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Least Common Multiple of 67962 and 67982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67962 and 67982, than apply into the LCM equation.

GCF(67962,67982) = 2
LCM(67962,67982) = ( 67962 × 67982) / 2
LCM(67962,67982) = 4620192684 / 2
LCM(67962,67982) = 2310096342

Least Common Multiple (LCM) of 67962 and 67982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67962 and 67982. First we will calculate the prime factors of 67962 and 67982.

Prime Factorization of 67962

Prime factors of 67962 are 2, 3, 47, 241. Prime factorization of 67962 in exponential form is:

67962 = 21 × 31 × 471 × 2411

Prime Factorization of 67982

Prime factors of 67982 are 2, 19, 1789. Prime factorization of 67982 in exponential form is:

67982 = 21 × 191 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 67962 and 67982.

LCM(67962,67982) = 21 × 31 × 471 × 2411 × 191 × 17891
LCM(67962,67982) = 2310096342