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What is the Least Common Multiple of 10963 and 10972?

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 10963 and 10972 is 120286036.

LCM(10963,10972) = 120286036

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Least Common Multiple of 10963 and 10972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10963 and 10972, than apply into the LCM equation.

GCF(10963,10972) = 1
LCM(10963,10972) = ( 10963 × 10972) / 1
LCM(10963,10972) = 120286036 / 1
LCM(10963,10972) = 120286036

Least Common Multiple (LCM) of 10963 and 10972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10963 and 10972. First we will calculate the prime factors of 10963 and 10972.

Prime Factorization of 10963

Prime factors of 10963 are 19, 577. Prime factorization of 10963 in exponential form is:

10963 = 191 × 5771

Prime Factorization of 10972

Prime factors of 10972 are 2, 13, 211. Prime factorization of 10972 in exponential form is:

10972 = 22 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 10963 and 10972.

LCM(10963,10972) = 191 × 5771 × 22 × 131 × 2111
LCM(10963,10972) = 120286036