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What is the Least Common Multiple of 68973 and 68982?

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 68973 and 68982 is 1585965162.

LCM(68973,68982) = 1585965162

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Least Common Multiple of 68973 and 68982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68973 and 68982, than apply into the LCM equation.

GCF(68973,68982) = 3
LCM(68973,68982) = ( 68973 × 68982) / 3
LCM(68973,68982) = 4757895486 / 3
LCM(68973,68982) = 1585965162

Least Common Multiple (LCM) of 68973 and 68982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68973 and 68982. First we will calculate the prime factors of 68973 and 68982.

Prime Factorization of 68973

Prime factors of 68973 are 3, 83, 277. Prime factorization of 68973 in exponential form is:

68973 = 31 × 831 × 2771

Prime Factorization of 68982

Prime factors of 68982 are 2, 3, 11497. Prime factorization of 68982 in exponential form is:

68982 = 21 × 31 × 114971

Now multiplying the highest exponent prime factors to calculate the LCM of 68973 and 68982.

LCM(68973,68982) = 31 × 831 × 2771 × 21 × 114971
LCM(68973,68982) = 1585965162