What is the Least Common Multiple of 38315 and 38334?

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 38315 and 38334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38315 and 38334, than apply into the LCM equation.

GCF(38315,38334) = 1
LCM(38315,38334) = ( 38315 × 38334) / 1
LCM(38315,38334) = 1468767210 / 1
LCM(38315,38334) = 1468767210

Least Common Multiple (LCM) of 38315 and 38334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38315 and 38334. First we will calculate the prime factors of 38315 and 38334.

Prime Factorization of 38315

Prime Factorization of 38334

Now multiplying the highest exponent prime factors to calculate the LCM of 38315 and 38334.

LCM(38315,38334) = 5¹ × 79¹ × 97¹ × 2¹ × 3¹ × 6389¹
LCM(38315,38334) = 1468767210