What is the Least Common Multiple of 38678 and 38684?

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 38678 and 38684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38678 and 38684, than apply into the LCM equation.

GCF(38678,38684) = 2
LCM(38678,38684) = ( 38678 × 38684) / 2
LCM(38678,38684) = 1496219752 / 2
LCM(38678,38684) = 748109876

Least Common Multiple (LCM) of 38678 and 38684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38678 and 38684. First we will calculate the prime factors of 38678 and 38684.

Prime Factorization of 38678

Prime Factorization of 38684

Now multiplying the highest exponent prime factors to calculate the LCM of 38678 and 38684.

LCM(38678,38684) = 2² × 83¹ × 233¹ × 19¹ × 509¹
LCM(38678,38684) = 748109876