What is the Least Common Multiple of 38114 and 38131?

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 38114 and 38131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38114 and 38131, than apply into the LCM equation.

GCF(38114,38131) = 17
LCM(38114,38131) = ( 38114 × 38131) / 17
LCM(38114,38131) = 1453324934 / 17
LCM(38114,38131) = 85489702

Least Common Multiple (LCM) of 38114 and 38131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38114 and 38131. First we will calculate the prime factors of 38114 and 38131.

Prime Factorization of 38114

Prime Factorization of 38131

Now multiplying the highest exponent prime factors to calculate the LCM of 38114 and 38131.

LCM(38114,38131) = 2¹ × 17¹ × 19¹ × 59¹ × 2243¹
LCM(38114,38131) = 85489702