What is the Least Common Multiple of 89890 and 89902?

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 89890 and 89902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89890 and 89902, than apply into the LCM equation.

GCF(89890,89902) = 2
LCM(89890,89902) = ( 89890 × 89902) / 2
LCM(89890,89902) = 8081290780 / 2
LCM(89890,89902) = 4040645390

Least Common Multiple (LCM) of 89890 and 89902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89890 and 89902. First we will calculate the prime factors of 89890 and 89902.

Prime Factorization of 89890

Prime Factorization of 89902

Now multiplying the highest exponent prime factors to calculate the LCM of 89890 and 89902.

LCM(89890,89902) = 2¹ × 5¹ × 89¹ × 101¹ × 79¹ × 569¹
LCM(89890,89902) = 4040645390