What is the Least Common Multiple of 27438 and 27458?

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 27438 and 27458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27438 and 27458, than apply into the LCM equation.

GCF(27438,27458) = 2
LCM(27438,27458) = ( 27438 × 27458) / 2
LCM(27438,27458) = 753392604 / 2
LCM(27438,27458) = 376696302

Least Common Multiple (LCM) of 27438 and 27458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27438 and 27458. First we will calculate the prime factors of 27438 and 27458.

Prime Factorization of 27438

Prime Factorization of 27458

Now multiplying the highest exponent prime factors to calculate the LCM of 27438 and 27458.

LCM(27438,27458) = 2¹ × 3¹ × 17¹ × 269¹ × 13729¹
LCM(27438,27458) = 376696302