What is the Least Common Multiple of 54730 and 54742?

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 54730 and 54742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54730 and 54742, than apply into the LCM equation.

GCF(54730,54742) = 2
LCM(54730,54742) = ( 54730 × 54742) / 2
LCM(54730,54742) = 2996029660 / 2
LCM(54730,54742) = 1498014830

Least Common Multiple (LCM) of 54730 and 54742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54730 and 54742. First we will calculate the prime factors of 54730 and 54742.

Prime Factorization of 54730

Prime Factorization of 54742

Now multiplying the highest exponent prime factors to calculate the LCM of 54730 and 54742.

LCM(54730,54742) = 2¹ × 5¹ × 13¹ × 421¹ × 101¹ × 271¹
LCM(54730,54742) = 1498014830