What is the Least Common Multiple of 89902 and 89920?

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 89902 and 89920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89902 and 89920, than apply into the LCM equation.

GCF(89902,89920) = 2
LCM(89902,89920) = ( 89902 × 89920) / 2
LCM(89902,89920) = 8083987840 / 2
LCM(89902,89920) = 4041993920

Least Common Multiple (LCM) of 89902 and 89920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89902 and 89920. First we will calculate the prime factors of 89902 and 89920.

Prime Factorization of 89902

Prime Factorization of 89920

Now multiplying the highest exponent prime factors to calculate the LCM of 89902 and 89920.

LCM(89902,89920) = 2⁶ × 79¹ × 569¹ × 5¹ × 281¹
LCM(89902,89920) = 4041993920