What is the Least Common Multiple of 92832 and 92840?

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 92832 and 92840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92832 and 92840, than apply into the LCM equation.

GCF(92832,92840) = 8
LCM(92832,92840) = ( 92832 × 92840) / 8
LCM(92832,92840) = 8618522880 / 8
LCM(92832,92840) = 1077315360

Least Common Multiple (LCM) of 92832 and 92840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92832 and 92840. First we will calculate the prime factors of 92832 and 92840.

Prime Factorization of 92832

Prime Factorization of 92840

Now multiplying the highest exponent prime factors to calculate the LCM of 92832 and 92840.

LCM(92832,92840) = 2⁵ × 3¹ × 967¹ × 5¹ × 11¹ × 211¹
LCM(92832,92840) = 1077315360