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What is the Least Common Multiple of 6974 and 6980?

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 6974 and 6980 is 24339260.

LCM(6974,6980) = 24339260

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Least Common Multiple of 6974 and 6980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6980, than apply into the LCM equation.

GCF(6974,6980) = 2
LCM(6974,6980) = ( 6974 × 6980) / 2
LCM(6974,6980) = 48678520 / 2
LCM(6974,6980) = 24339260

Least Common Multiple (LCM) of 6974 and 6980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6980. First we will calculate the prime factors of 6974 and 6980.

Prime Factorization of 6974

Prime factors of 6974 are 2, 11, 317. Prime factorization of 6974 in exponential form is:

6974 = 21 × 111 × 3171

Prime Factorization of 6980

Prime factors of 6980 are 2, 5, 349. Prime factorization of 6980 in exponential form is:

6980 = 22 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6974 and 6980.

LCM(6974,6980) = 22 × 111 × 3171 × 51 × 3491
LCM(6974,6980) = 24339260