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What is the Least Common Multiple of 27964 and 27976?

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 27964 and 27976 is 195580216.

LCM(27964,27976) = 195580216

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Least Common Multiple of 27964 and 27976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27964 and 27976, than apply into the LCM equation.

GCF(27964,27976) = 4
LCM(27964,27976) = ( 27964 × 27976) / 4
LCM(27964,27976) = 782320864 / 4
LCM(27964,27976) = 195580216

Least Common Multiple (LCM) of 27964 and 27976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27964 and 27976. First we will calculate the prime factors of 27964 and 27976.

Prime Factorization of 27964

Prime factors of 27964 are 2, 6991. Prime factorization of 27964 in exponential form is:

27964 = 22 × 69911

Prime Factorization of 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 23 × 131 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 27964 and 27976.

LCM(27964,27976) = 23 × 69911 × 131 × 2691
LCM(27964,27976) = 195580216