What is the Least Common Multiple of 38976 and 38984?

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 38976 and 38984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38976 and 38984, than apply into the LCM equation.

GCF(38976,38984) = 8
LCM(38976,38984) = ( 38976 × 38984) / 8
LCM(38976,38984) = 1519440384 / 8
LCM(38976,38984) = 189930048

Least Common Multiple (LCM) of 38976 and 38984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38976 and 38984. First we will calculate the prime factors of 38976 and 38984.

Prime Factorization of 38976

Prime Factorization of 38984

Now multiplying the highest exponent prime factors to calculate the LCM of 38976 and 38984.

LCM(38976,38984) = 2⁶ × 3¹ × 7¹ × 29¹ × 11¹ × 443¹
LCM(38976,38984) = 189930048