What is the Least Common Multiple of 38125 and 38134?

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 38125 and 38134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38125 and 38134, than apply into the LCM equation.

GCF(38125,38134) = 1
LCM(38125,38134) = ( 38125 × 38134) / 1
LCM(38125,38134) = 1453858750 / 1
LCM(38125,38134) = 1453858750

Least Common Multiple (LCM) of 38125 and 38134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38125 and 38134. First we will calculate the prime factors of 38125 and 38134.

Prime Factorization of 38125

Prime Factorization of 38134

Now multiplying the highest exponent prime factors to calculate the LCM of 38125 and 38134.

LCM(38125,38134) = 5⁴ × 61¹ × 2¹ × 23¹ × 829¹
LCM(38125,38134) = 1453858750