What is the Least Common Multiple of 89835 and 89854?

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 89835 and 89854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89835 and 89854, than apply into the LCM equation.

GCF(89835,89854) = 1
LCM(89835,89854) = ( 89835 × 89854) / 1
LCM(89835,89854) = 8072034090 / 1
LCM(89835,89854) = 8072034090

Least Common Multiple (LCM) of 89835 and 89854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89835 and 89854. First we will calculate the prime factors of 89835 and 89854.

Prime Factorization of 89835

Prime Factorization of 89854

Now multiplying the highest exponent prime factors to calculate the LCM of 89835 and 89854.

LCM(89835,89854) = 3¹ × 5¹ × 53¹ × 113¹ × 2¹ × 44927¹
LCM(89835,89854) = 8072034090