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What is the Least Common Multiple of 6940 and 6952?

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 6940 and 6952 is 12061720.

LCM(6940,6952) = 12061720

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Least Common Multiple of 6940 and 6952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6940 and 6952, than apply into the LCM equation.

GCF(6940,6952) = 4
LCM(6940,6952) = ( 6940 × 6952) / 4
LCM(6940,6952) = 48246880 / 4
LCM(6940,6952) = 12061720

Least Common Multiple (LCM) of 6940 and 6952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6940 and 6952. First we will calculate the prime factors of 6940 and 6952.

Prime Factorization of 6940

Prime factors of 6940 are 2, 5, 347. Prime factorization of 6940 in exponential form is:

6940 = 22 × 51 × 3471

Prime Factorization of 6952

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

6952 = 23 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 6940 and 6952.

LCM(6940,6952) = 23 × 51 × 3471 × 111 × 791
LCM(6940,6952) = 12061720