What is the Least Common Multiple of 89025 and 89037?

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 89025 and 89037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89025 and 89037, than apply into the LCM equation.

GCF(89025,89037) = 3
LCM(89025,89037) = ( 89025 × 89037) / 3
LCM(89025,89037) = 7926518925 / 3
LCM(89025,89037) = 2642172975

Least Common Multiple (LCM) of 89025 and 89037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89025 and 89037. First we will calculate the prime factors of 89025 and 89037.

Prime Factorization of 89025

Prime Factorization of 89037

Now multiplying the highest exponent prime factors to calculate the LCM of 89025 and 89037.

LCM(89025,89037) = 3² × 5² × 1187¹ × 13¹ × 761¹
LCM(89025,89037) = 2642172975