What is the Least Common Multiple of 38754 and 38770?

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 38754 and 38770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38754 and 38770, than apply into the LCM equation.

GCF(38754,38770) = 2
LCM(38754,38770) = ( 38754 × 38770) / 2
LCM(38754,38770) = 1502492580 / 2
LCM(38754,38770) = 751246290

Least Common Multiple (LCM) of 38754 and 38770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38754 and 38770. First we will calculate the prime factors of 38754 and 38770.

Prime Factorization of 38754

Prime Factorization of 38770

Now multiplying the highest exponent prime factors to calculate the LCM of 38754 and 38770.

LCM(38754,38770) = 2¹ × 3² × 2153¹ × 5¹ × 3877¹
LCM(38754,38770) = 751246290