What is the Least Common Multiple of 92609 and 92617?

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 92609 and 92617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92609 and 92617, than apply into the LCM equation.

GCF(92609,92617) = 1
LCM(92609,92617) = ( 92609 × 92617) / 1
LCM(92609,92617) = 8577167753 / 1
LCM(92609,92617) = 8577167753

Least Common Multiple (LCM) of 92609 and 92617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92609 and 92617. First we will calculate the prime factors of 92609 and 92617.

Prime Factorization of 92609

Prime Factorization of 92617

Now multiplying the highest exponent prime factors to calculate the LCM of 92609 and 92617.

LCM(92609,92617) = 11¹ × 8419¹ × 7¹ × 101¹ × 131¹
LCM(92609,92617) = 8577167753