What is the Least Common Multiple of 38123 and 38135?

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 38123 and 38135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38123 and 38135, than apply into the LCM equation.

GCF(38123,38135) = 1
LCM(38123,38135) = ( 38123 × 38135) / 1
LCM(38123,38135) = 1453820605 / 1
LCM(38123,38135) = 1453820605

Least Common Multiple (LCM) of 38123 and 38135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38123 and 38135. First we will calculate the prime factors of 38123 and 38135.

Prime Factorization of 38123

Prime Factorization of 38135

Now multiplying the highest exponent prime factors to calculate the LCM of 38123 and 38135.

LCM(38123,38135) = 67¹ × 569¹ × 5¹ × 29¹ × 263¹
LCM(38123,38135) = 1453820605