What is the Least Common Multiple of 92576 and 92588?

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 92576 and 92588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92576 and 92588, than apply into the LCM equation.

GCF(92576,92588) = 4
LCM(92576,92588) = ( 92576 × 92588) / 4
LCM(92576,92588) = 8571426688 / 4
LCM(92576,92588) = 2142856672

Least Common Multiple (LCM) of 92576 and 92588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92576 and 92588. First we will calculate the prime factors of 92576 and 92588.

Prime Factorization of 92576

Prime Factorization of 92588

Now multiplying the highest exponent prime factors to calculate the LCM of 92576 and 92588.

LCM(92576,92588) = 2⁵ × 11¹ × 263¹ × 79¹ × 293¹
LCM(92576,92588) = 2142856672