What is the Least Common Multiple of 38684 and 38704?

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 38684 and 38704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38684 and 38704, than apply into the LCM equation.

GCF(38684,38704) = 4
LCM(38684,38704) = ( 38684 × 38704) / 4
LCM(38684,38704) = 1497225536 / 4
LCM(38684,38704) = 374306384

Least Common Multiple (LCM) of 38684 and 38704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38684 and 38704. First we will calculate the prime factors of 38684 and 38704.

Prime Factorization of 38684

Prime Factorization of 38704

Now multiplying the highest exponent prime factors to calculate the LCM of 38684 and 38704.

LCM(38684,38704) = 2⁴ × 19¹ × 509¹ × 41¹ × 59¹
LCM(38684,38704) = 374306384