What is the Least Common Multiple of 89720 and 89733?

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 89720 and 89733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89720 and 89733, than apply into the LCM equation.

GCF(89720,89733) = 1
LCM(89720,89733) = ( 89720 × 89733) / 1
LCM(89720,89733) = 8050844760 / 1
LCM(89720,89733) = 8050844760

Least Common Multiple (LCM) of 89720 and 89733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89720 and 89733. First we will calculate the prime factors of 89720 and 89733.

Prime Factorization of 89720

Prime Factorization of 89733

Now multiplying the highest exponent prime factors to calculate the LCM of 89720 and 89733.

LCM(89720,89733) = 2³ × 5¹ × 2243¹ × 3¹ × 7¹ × 4273¹
LCM(89720,89733) = 8050844760