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What is the Least Common Multiple of 30922 and 30932?

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 30922 and 30932 is 478239652.

LCM(30922,30932) = 478239652

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Least Common Multiple of 30922 and 30932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30922 and 30932, than apply into the LCM equation.

GCF(30922,30932) = 2
LCM(30922,30932) = ( 30922 × 30932) / 2
LCM(30922,30932) = 956479304 / 2
LCM(30922,30932) = 478239652

Least Common Multiple (LCM) of 30922 and 30932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30922 and 30932. First we will calculate the prime factors of 30922 and 30932.

Prime Factorization of 30922

Prime factors of 30922 are 2, 15461. Prime factorization of 30922 in exponential form is:

30922 = 21 × 154611

Prime Factorization of 30932

Prime factors of 30932 are 2, 11, 19, 37. Prime factorization of 30932 in exponential form is:

30932 = 22 × 111 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 30922 and 30932.

LCM(30922,30932) = 22 × 154611 × 111 × 191 × 371
LCM(30922,30932) = 478239652