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What is the Least Common Multiple of 6954 and 6963?

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 6954 and 6963 is 16140234.

LCM(6954,6963) = 16140234

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Least Common Multiple of 6954 and 6963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6954 and 6963, than apply into the LCM equation.

GCF(6954,6963) = 3
LCM(6954,6963) = ( 6954 × 6963) / 3
LCM(6954,6963) = 48420702 / 3
LCM(6954,6963) = 16140234

Least Common Multiple (LCM) of 6954 and 6963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6954 and 6963. First we will calculate the prime factors of 6954 and 6963.

Prime Factorization of 6954

Prime factors of 6954 are 2, 3, 19, 61. Prime factorization of 6954 in exponential form is:

6954 = 21 × 31 × 191 × 611

Prime Factorization of 6963

Prime factors of 6963 are 3, 11, 211. Prime factorization of 6963 in exponential form is:

6963 = 31 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6954 and 6963.

LCM(6954,6963) = 21 × 31 × 191 × 611 × 111 × 2111
LCM(6954,6963) = 16140234