What is the Least Common Multiple of 89920 and 89936?

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 89920 and 89936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89920 and 89936, than apply into the LCM equation.

GCF(89920,89936) = 16
LCM(89920,89936) = ( 89920 × 89936) / 16
LCM(89920,89936) = 8087045120 / 16
LCM(89920,89936) = 505440320

Least Common Multiple (LCM) of 89920 and 89936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89920 and 89936. First we will calculate the prime factors of 89920 and 89936.

Prime Factorization of 89920

Prime Factorization of 89936

Now multiplying the highest exponent prime factors to calculate the LCM of 89920 and 89936.

LCM(89920,89936) = 2⁶ × 5¹ × 281¹ × 7¹ × 11¹ × 73¹
LCM(89920,89936) = 505440320