What is the Least Common Multiple of 92540 and 92558?

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 92540 and 92558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92540 and 92558, than apply into the LCM equation.

GCF(92540,92558) = 2
LCM(92540,92558) = ( 92540 × 92558) / 2
LCM(92540,92558) = 8565317320 / 2
LCM(92540,92558) = 4282658660

Least Common Multiple (LCM) of 92540 and 92558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92540 and 92558. First we will calculate the prime factors of 92540 and 92558.

Prime Factorization of 92540

Prime Factorization of 92558

Now multiplying the highest exponent prime factors to calculate the LCM of 92540 and 92558.

LCM(92540,92558) = 2² × 5¹ × 7¹ × 661¹ × 46279¹
LCM(92540,92558) = 4282658660