What is the Least Common Multiple of 92550 and 92565?

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 92550 and 92565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92550 and 92565, than apply into the LCM equation.

GCF(92550,92565) = 15
LCM(92550,92565) = ( 92550 × 92565) / 15
LCM(92550,92565) = 8566890750 / 15
LCM(92550,92565) = 571126050

Least Common Multiple (LCM) of 92550 and 92565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92550 and 92565. First we will calculate the prime factors of 92550 and 92565.

Prime Factorization of 92550

Prime Factorization of 92565

Now multiplying the highest exponent prime factors to calculate the LCM of 92550 and 92565.

LCM(92550,92565) = 2¹ × 3² × 5² × 617¹ × 11² × 17¹
LCM(92550,92565) = 571126050