What is the Least Common Multiple of 88924 and 88944?

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 88924 and 88944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88924 and 88944, than apply into the LCM equation.

GCF(88924,88944) = 4
LCM(88924,88944) = ( 88924 × 88944) / 4
LCM(88924,88944) = 7909256256 / 4
LCM(88924,88944) = 1977314064

Least Common Multiple (LCM) of 88924 and 88944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88924 and 88944. First we will calculate the prime factors of 88924 and 88944.

Prime Factorization of 88924

Prime Factorization of 88944

Now multiplying the highest exponent prime factors to calculate the LCM of 88924 and 88944.

LCM(88924,88944) = 2⁴ × 11¹ × 43¹ × 47¹ × 3¹ × 17¹ × 109¹
LCM(88924,88944) = 1977314064