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What is the Least Common Multiple of 27468 and 27476?

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 27468 and 27476 is 188677692.

LCM(27468,27476) = 188677692

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Least Common Multiple of 27468 and 27476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27468 and 27476, than apply into the LCM equation.

GCF(27468,27476) = 4
LCM(27468,27476) = ( 27468 × 27476) / 4
LCM(27468,27476) = 754710768 / 4
LCM(27468,27476) = 188677692

Least Common Multiple (LCM) of 27468 and 27476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27468 and 27476. First we will calculate the prime factors of 27468 and 27476.

Prime Factorization of 27468

Prime factors of 27468 are 2, 3, 7, 109. Prime factorization of 27468 in exponential form is:

27468 = 22 × 32 × 71 × 1091

Prime Factorization of 27476

Prime factors of 27476 are 2, 6869. Prime factorization of 27476 in exponential form is:

27476 = 22 × 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 27468 and 27476.

LCM(27468,27476) = 22 × 32 × 71 × 1091 × 68691
LCM(27468,27476) = 188677692