What is the Least Common Multiple of 89936 and 89949?

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 89936 and 89949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89936 and 89949, than apply into the LCM equation.

GCF(89936,89949) = 1
LCM(89936,89949) = ( 89936 × 89949) / 1
LCM(89936,89949) = 8089653264 / 1
LCM(89936,89949) = 8089653264

Least Common Multiple (LCM) of 89936 and 89949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89936 and 89949. First we will calculate the prime factors of 89936 and 89949.

Prime Factorization of 89936

Prime Factorization of 89949

Now multiplying the highest exponent prime factors to calculate the LCM of 89936 and 89949.

LCM(89936,89949) = 2⁴ × 7¹ × 11¹ × 73¹ × 3¹ × 29983¹
LCM(89936,89949) = 8089653264