What is the Least Common Multiple of 89175 and 89192?

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 89175 and 89192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89175 and 89192, than apply into the LCM equation.

GCF(89175,89192) = 1
LCM(89175,89192) = ( 89175 × 89192) / 1
LCM(89175,89192) = 7953696600 / 1
LCM(89175,89192) = 7953696600

Least Common Multiple (LCM) of 89175 and 89192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89175 and 89192. First we will calculate the prime factors of 89175 and 89192.

Prime Factorization of 89175

Prime Factorization of 89192

Now multiplying the highest exponent prime factors to calculate the LCM of 89175 and 89192.

LCM(89175,89192) = 3¹ × 5² × 29¹ × 41¹ × 2³ × 11149¹
LCM(89175,89192) = 7953696600