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What is the Least Common Multiple of 23962 and 23981?

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 23962 and 23981 is 574632722.

LCM(23962,23981) = 574632722

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Least Common Multiple of 23962 and 23981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23962 and 23981, than apply into the LCM equation.

GCF(23962,23981) = 1
LCM(23962,23981) = ( 23962 × 23981) / 1
LCM(23962,23981) = 574632722 / 1
LCM(23962,23981) = 574632722

Least Common Multiple (LCM) of 23962 and 23981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23962 and 23981. First we will calculate the prime factors of 23962 and 23981.

Prime Factorization of 23962

Prime factors of 23962 are 2, 11981. Prime factorization of 23962 in exponential form is:

23962 = 21 × 119811

Prime Factorization of 23981

Prime factors of 23981 are 23981. Prime factorization of 23981 in exponential form is:

23981 = 239811

Now multiplying the highest exponent prime factors to calculate the LCM of 23962 and 23981.

LCM(23962,23981) = 21 × 119811 × 239811
LCM(23962,23981) = 574632722