What is the Least Common Multiple of 89890 and 89898?

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 89898 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 89898, than apply into the LCM equation.

GCF(89890,89898) = 2
LCM(89890,89898) = ( 89890 × 89898) / 2
LCM(89890,89898) = 8080931220 / 2
LCM(89890,89898) = 4040465610

Least Common Multiple (LCM) of 89890 and 89898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89890 and 89898. First we will calculate the prime factors of 89890 and 89898.

Prime Factorization of 89890

Prime Factorization of 89898

Now multiplying the highest exponent prime factors to calculate the LCM of 89890 and 89898.

LCM(89890,89898) = 2¹ × 5¹ × 89¹ × 101¹ × 3¹ × 14983¹
LCM(89890,89898) = 4040465610