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What is the Least Common Multiple of 30951 and 30971?

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 30951 and 30971 is 958583421.

LCM(30951,30971) = 958583421

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Least Common Multiple of 30951 and 30971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30951 and 30971, than apply into the LCM equation.

GCF(30951,30971) = 1
LCM(30951,30971) = ( 30951 × 30971) / 1
LCM(30951,30971) = 958583421 / 1
LCM(30951,30971) = 958583421

Least Common Multiple (LCM) of 30951 and 30971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30951 and 30971. First we will calculate the prime factors of 30951 and 30971.

Prime Factorization of 30951

Prime factors of 30951 are 3, 19, 181. Prime factorization of 30951 in exponential form is:

30951 = 32 × 191 × 1811

Prime Factorization of 30971

Prime factors of 30971 are 30971. Prime factorization of 30971 in exponential form is:

30971 = 309711

Now multiplying the highest exponent prime factors to calculate the LCM of 30951 and 30971.

LCM(30951,30971) = 32 × 191 × 1811 × 309711
LCM(30951,30971) = 958583421