What is the Least Common Multiple of 8930 and 8944?

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 8930 and 8944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8930 and 8944, than apply into the LCM equation.

GCF(8930,8944) = 2
LCM(8930,8944) = ( 8930 × 8944) / 2
LCM(8930,8944) = 79869920 / 2
LCM(8930,8944) = 39934960

Least Common Multiple (LCM) of 8930 and 8944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8930 and 8944. First we will calculate the prime factors of 8930 and 8944.

Prime Factorization of 8930

Prime Factorization of 8944

Now multiplying the highest exponent prime factors to calculate the LCM of 8930 and 8944.

LCM(8930,8944) = 2⁴ × 5¹ × 19¹ × 47¹ × 13¹ × 43¹
LCM(8930,8944) = 39934960