What is the Least Common Multiple of 27742 and 27754?

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 27742 and 27754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27742 and 27754, than apply into the LCM equation.

GCF(27742,27754) = 2
LCM(27742,27754) = ( 27742 × 27754) / 2
LCM(27742,27754) = 769951468 / 2
LCM(27742,27754) = 384975734

Least Common Multiple (LCM) of 27742 and 27754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27742 and 27754. First we will calculate the prime factors of 27742 and 27754.

Prime Factorization of 27742

Prime Factorization of 27754

Now multiplying the highest exponent prime factors to calculate the LCM of 27742 and 27754.

LCM(27742,27754) = 2¹ × 11¹ × 13¹ × 97¹ × 13877¹
LCM(27742,27754) = 384975734