What is the Least Common Multiple of 89314 and 89320?

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 89314 and 89320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89314 and 89320, than apply into the LCM equation.

GCF(89314,89320) = 2
LCM(89314,89320) = ( 89314 × 89320) / 2
LCM(89314,89320) = 7977526480 / 2
LCM(89314,89320) = 3988763240

Least Common Multiple (LCM) of 89314 and 89320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89314 and 89320. First we will calculate the prime factors of 89314 and 89320.

Prime Factorization of 89314

Prime Factorization of 89320

Now multiplying the highest exponent prime factors to calculate the LCM of 89314 and 89320.

LCM(89314,89320) = 2³ × 44657¹ × 5¹ × 7¹ × 11¹ × 29¹
LCM(89314,89320) = 3988763240