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What is the Least Common Multiple of 10622 and 10633?

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 10622 and 10633 is 112943726.

LCM(10622,10633) = 112943726

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Least Common Multiple of 10622 and 10633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10622 and 10633, than apply into the LCM equation.

GCF(10622,10633) = 1
LCM(10622,10633) = ( 10622 × 10633) / 1
LCM(10622,10633) = 112943726 / 1
LCM(10622,10633) = 112943726

Least Common Multiple (LCM) of 10622 and 10633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10622 and 10633. First we will calculate the prime factors of 10622 and 10633.

Prime Factorization of 10622

Prime factors of 10622 are 2, 47, 113. Prime factorization of 10622 in exponential form is:

10622 = 21 × 471 × 1131

Prime Factorization of 10633

Prime factors of 10633 are 7, 31. Prime factorization of 10633 in exponential form is:

10633 = 73 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10622 and 10633.

LCM(10622,10633) = 21 × 471 × 1131 × 73 × 311
LCM(10622,10633) = 112943726