What is the Least Common Multiple of 27462 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 of 27462 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 27462 and 27478, than apply into the LCM equation.

GCF(27462,27478) = 2
LCM(27462,27478) = ( 27462 × 27478) / 2
LCM(27462,27478) = 754600836 / 2
LCM(27462,27478) = 377300418

Least Common Multiple (LCM) of 27462 and 27478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27462 and 27478. First we will calculate the prime factors of 27462 and 27478.

Prime Factorization of 27462

Prime Factorization of 27478

Now multiplying the highest exponent prime factors to calculate the LCM of 27462 and 27478.

LCM(27462,27478) = 2¹ × 3¹ × 23¹ × 199¹ × 11¹ × 1249¹
LCM(27462,27478) = 377300418