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What is the Least Common Multiple of 6952 and 6971?

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 6952 and 6971 is 48462392.

LCM(6952,6971) = 48462392

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Least Common Multiple of 6952 and 6971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6952 and 6971, than apply into the LCM equation.

GCF(6952,6971) = 1
LCM(6952,6971) = ( 6952 × 6971) / 1
LCM(6952,6971) = 48462392 / 1
LCM(6952,6971) = 48462392

Least Common Multiple (LCM) of 6952 and 6971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6971. First we will calculate the prime factors of 6952 and 6971.

Prime Factorization of 6952

Prime factors of 6952 are 2, 11, 79. Prime factorization of 6952 in exponential form is:

6952 = 23 × 111 × 791

Prime Factorization of 6971

Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:

6971 = 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6971.

LCM(6952,6971) = 23 × 111 × 791 × 69711
LCM(6952,6971) = 48462392