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What is the Least Common Multiple of 76940 and 76948?

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 76940 and 76948 is 1480094780.

LCM(76940,76948) = 1480094780

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Least Common Multiple of 76940 and 76948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76940 and 76948, than apply into the LCM equation.

GCF(76940,76948) = 4
LCM(76940,76948) = ( 76940 × 76948) / 4
LCM(76940,76948) = 5920379120 / 4
LCM(76940,76948) = 1480094780

Least Common Multiple (LCM) of 76940 and 76948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76940 and 76948. First we will calculate the prime factors of 76940 and 76948.

Prime Factorization of 76940

Prime factors of 76940 are 2, 5, 3847. Prime factorization of 76940 in exponential form is:

76940 = 22 × 51 × 38471

Prime Factorization of 76948

Prime factors of 76948 are 2, 19237. Prime factorization of 76948 in exponential form is:

76948 = 22 × 192371

Now multiplying the highest exponent prime factors to calculate the LCM of 76940 and 76948.

LCM(76940,76948) = 22 × 51 × 38471 × 192371
LCM(76940,76948) = 1480094780