What is the Least Common Multiple of 38454 and 38470?

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 38454 and 38470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38454 and 38470, than apply into the LCM equation.

GCF(38454,38470) = 2
LCM(38454,38470) = ( 38454 × 38470) / 2
LCM(38454,38470) = 1479325380 / 2
LCM(38454,38470) = 739662690

Least Common Multiple (LCM) of 38454 and 38470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38454 and 38470. First we will calculate the prime factors of 38454 and 38470.

Prime Factorization of 38454

Prime Factorization of 38470

Now multiplying the highest exponent prime factors to calculate the LCM of 38454 and 38470.

LCM(38454,38470) = 2¹ × 3¹ × 13¹ × 17¹ × 29¹ × 5¹ × 3847¹
LCM(38454,38470) = 739662690