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What is the Least Common Multiple of 30961 and 30972?

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 30961 and 30972 is 958924092.

LCM(30961,30972) = 958924092

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Least Common Multiple of 30961 and 30972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30961 and 30972, than apply into the LCM equation.

GCF(30961,30972) = 1
LCM(30961,30972) = ( 30961 × 30972) / 1
LCM(30961,30972) = 958924092 / 1
LCM(30961,30972) = 958924092

Least Common Multiple (LCM) of 30961 and 30972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30961 and 30972. First we will calculate the prime factors of 30961 and 30972.

Prime Factorization of 30961

Prime factors of 30961 are 7, 4423. Prime factorization of 30961 in exponential form is:

30961 = 71 × 44231

Prime Factorization of 30972

Prime factors of 30972 are 2, 3, 29, 89. Prime factorization of 30972 in exponential form is:

30972 = 22 × 31 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 30961 and 30972.

LCM(30961,30972) = 71 × 44231 × 22 × 31 × 291 × 891
LCM(30961,30972) = 958924092