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What is the Least Common Multiple of 26977 and 26992?

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 26977 and 26992 is 728163184.

LCM(26977,26992) = 728163184

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Least Common Multiple of 26977 and 26992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26977 and 26992, than apply into the LCM equation.

GCF(26977,26992) = 1
LCM(26977,26992) = ( 26977 × 26992) / 1
LCM(26977,26992) = 728163184 / 1
LCM(26977,26992) = 728163184

Least Common Multiple (LCM) of 26977 and 26992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26977 and 26992. First we will calculate the prime factors of 26977 and 26992.

Prime Factorization of 26977

Prime factors of 26977 are 53, 509. Prime factorization of 26977 in exponential form is:

26977 = 531 × 5091

Prime Factorization of 26992

Prime factors of 26992 are 2, 7, 241. Prime factorization of 26992 in exponential form is:

26992 = 24 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 26977 and 26992.

LCM(26977,26992) = 531 × 5091 × 24 × 71 × 2411
LCM(26977,26992) = 728163184