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What is the Least Common Multiple of 27950 and 27964?

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 27950 and 27964 is 390796900.

LCM(27950,27964) = 390796900

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Least Common Multiple of 27950 and 27964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27950 and 27964, than apply into the LCM equation.

GCF(27950,27964) = 2
LCM(27950,27964) = ( 27950 × 27964) / 2
LCM(27950,27964) = 781593800 / 2
LCM(27950,27964) = 390796900

Least Common Multiple (LCM) of 27950 and 27964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27950 and 27964. First we will calculate the prime factors of 27950 and 27964.

Prime Factorization of 27950

Prime factors of 27950 are 2, 5, 13, 43. Prime factorization of 27950 in exponential form is:

27950 = 21 × 52 × 131 × 431

Prime Factorization of 27964

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

27964 = 22 × 69911

Now multiplying the highest exponent prime factors to calculate the LCM of 27950 and 27964.

LCM(27950,27964) = 22 × 52 × 131 × 431 × 69911
LCM(27950,27964) = 390796900