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What is the Least Common Multiple of 6961 and 6973?

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 6961 and 6973 is 48539053.

LCM(6961,6973) = 48539053

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Least Common Multiple of 6961 and 6973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6961 and 6973, than apply into the LCM equation.

GCF(6961,6973) = 1
LCM(6961,6973) = ( 6961 × 6973) / 1
LCM(6961,6973) = 48539053 / 1
LCM(6961,6973) = 48539053

Least Common Multiple (LCM) of 6961 and 6973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6961 and 6973. First we will calculate the prime factors of 6961 and 6973.

Prime Factorization of 6961

Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:

6961 = 69611

Prime Factorization of 6973

Prime factors of 6973 are 19, 367. Prime factorization of 6973 in exponential form is:

6973 = 191 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 6961 and 6973.

LCM(6961,6973) = 69611 × 191 × 3671
LCM(6961,6973) = 48539053