What is the Least Common Multiple of 38634 and 38641?

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 38634 and 38641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38634 and 38641, than apply into the LCM equation.

GCF(38634,38641) = 1
LCM(38634,38641) = ( 38634 × 38641) / 1
LCM(38634,38641) = 1492856394 / 1
LCM(38634,38641) = 1492856394

Least Common Multiple (LCM) of 38634 and 38641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38634 and 38641. First we will calculate the prime factors of 38634 and 38641.

Prime Factorization of 38634

Prime Factorization of 38641

Now multiplying the highest exponent prime factors to calculate the LCM of 38634 and 38641.

LCM(38634,38641) = 2¹ × 3¹ × 47¹ × 137¹ × 17¹ × 2273¹
LCM(38634,38641) = 1492856394