What is the Least Common Multiple of 48654 and 48674?

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 48654 and 48674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48654 and 48674, than apply into the LCM equation.

GCF(48654,48674) = 2
LCM(48654,48674) = ( 48654 × 48674) / 2
LCM(48654,48674) = 2368184796 / 2
LCM(48654,48674) = 1184092398

Least Common Multiple (LCM) of 48654 and 48674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48654 and 48674. First we will calculate the prime factors of 48654 and 48674.

Prime Factorization of 48654

Prime Factorization of 48674

Now multiplying the highest exponent prime factors to calculate the LCM of 48654 and 48674.

LCM(48654,48674) = 2¹ × 3³ × 17¹ × 53¹ × 24337¹
LCM(48654,48674) = 1184092398