What is the Least Common Multiple of 89872 and 89890?

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 89872 and 89890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89872 and 89890, than apply into the LCM equation.

GCF(89872,89890) = 2
LCM(89872,89890) = ( 89872 × 89890) / 2
LCM(89872,89890) = 8078594080 / 2
LCM(89872,89890) = 4039297040

Least Common Multiple (LCM) of 89872 and 89890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89872 and 89890. First we will calculate the prime factors of 89872 and 89890.

Prime Factorization of 89872

Prime Factorization of 89890

Now multiplying the highest exponent prime factors to calculate the LCM of 89872 and 89890.

LCM(89872,89890) = 2⁴ × 41¹ × 137¹ × 5¹ × 89¹ × 101¹
LCM(89872,89890) = 4039297040