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What is the Least Common Multiple of 27463 and 27478?

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 27463 and 27478 is 754628314.

LCM(27463,27478) = 754628314

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Least Common Multiple of 27463 and 27478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27463 and 27478, than apply into the LCM equation.

GCF(27463,27478) = 1
LCM(27463,27478) = ( 27463 × 27478) / 1
LCM(27463,27478) = 754628314 / 1
LCM(27463,27478) = 754628314

Least Common Multiple (LCM) of 27463 and 27478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27463 and 27478. First we will calculate the prime factors of 27463 and 27478.

Prime Factorization of 27463

Prime factors of 27463 are 29, 947. Prime factorization of 27463 in exponential form is:

27463 = 291 × 9471

Prime Factorization of 27478

Prime factors of 27478 are 2, 11, 1249. Prime factorization of 27478 in exponential form is:

27478 = 21 × 111 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 27463 and 27478.

LCM(27463,27478) = 291 × 9471 × 21 × 111 × 12491
LCM(27463,27478) = 754628314