What is the Least Common Multiple of 38042 and 38046?

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 38042 and 38046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38042 and 38046, than apply into the LCM equation.

GCF(38042,38046) = 2
LCM(38042,38046) = ( 38042 × 38046) / 2
LCM(38042,38046) = 1447345932 / 2
LCM(38042,38046) = 723672966

Least Common Multiple (LCM) of 38042 and 38046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38042 and 38046. First we will calculate the prime factors of 38042 and 38046.

Prime Factorization of 38042

Prime Factorization of 38046

Now multiplying the highest exponent prime factors to calculate the LCM of 38042 and 38046.

LCM(38042,38046) = 2¹ × 23¹ × 827¹ × 3¹ × 17¹ × 373¹
LCM(38042,38046) = 723672966