What is the Least Common Multiple of 38058 and 38078?

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 38058 and 38078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38058 and 38078, than apply into the LCM equation.

GCF(38058,38078) = 2
LCM(38058,38078) = ( 38058 × 38078) / 2
LCM(38058,38078) = 1449172524 / 2
LCM(38058,38078) = 724586262

Least Common Multiple (LCM) of 38058 and 38078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38058 and 38078. First we will calculate the prime factors of 38058 and 38078.

Prime Factorization of 38058

Prime Factorization of 38078

Now multiplying the highest exponent prime factors to calculate the LCM of 38058 and 38078.

LCM(38058,38078) = 2¹ × 3¹ × 6343¹ × 79¹ × 241¹
LCM(38058,38078) = 724586262