What is the Least Common Multiple of 89550 and 89567?

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 89550 and 89567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89550 and 89567, than apply into the LCM equation.

GCF(89550,89567) = 1
LCM(89550,89567) = ( 89550 × 89567) / 1
LCM(89550,89567) = 8020724850 / 1
LCM(89550,89567) = 8020724850

Least Common Multiple (LCM) of 89550 and 89567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89550 and 89567. First we will calculate the prime factors of 89550 and 89567.

Prime Factorization of 89550

Prime Factorization of 89567

Now multiplying the highest exponent prime factors to calculate the LCM of 89550 and 89567.

LCM(89550,89567) = 2¹ × 3² × 5² × 199¹ × 89567¹
LCM(89550,89567) = 8020724850