What is the Least Common Multiple of 89020 and 89035?

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 89020 and 89035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89020 and 89035, than apply into the LCM equation.

GCF(89020,89035) = 5
LCM(89020,89035) = ( 89020 × 89035) / 5
LCM(89020,89035) = 7925895700 / 5
LCM(89020,89035) = 1585179140

Least Common Multiple (LCM) of 89020 and 89035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89020 and 89035. First we will calculate the prime factors of 89020 and 89035.

Prime Factorization of 89020

Prime Factorization of 89035

Now multiplying the highest exponent prime factors to calculate the LCM of 89020 and 89035.

LCM(89020,89035) = 2² × 5¹ × 4451¹ × 17807¹
LCM(89020,89035) = 1585179140