What is the Least Common Multiple of 27730 and 27742?

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 27730 and 27742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27730 and 27742, than apply into the LCM equation.

GCF(27730,27742) = 2
LCM(27730,27742) = ( 27730 × 27742) / 2
LCM(27730,27742) = 769285660 / 2
LCM(27730,27742) = 384642830

Least Common Multiple (LCM) of 27730 and 27742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27730 and 27742. First we will calculate the prime factors of 27730 and 27742.

Prime Factorization of 27730

Prime Factorization of 27742

Now multiplying the highest exponent prime factors to calculate the LCM of 27730 and 27742.

LCM(27730,27742) = 2¹ × 5¹ × 47¹ × 59¹ × 11¹ × 13¹ × 97¹
LCM(27730,27742) = 384642830