What is the Least Common Multiple of 91824 and 91840?

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 91824 and 91840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91824 and 91840, than apply into the LCM equation.

GCF(91824,91840) = 16
LCM(91824,91840) = ( 91824 × 91840) / 16
LCM(91824,91840) = 8433116160 / 16
LCM(91824,91840) = 527069760

Least Common Multiple (LCM) of 91824 and 91840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91824 and 91840. First we will calculate the prime factors of 91824 and 91840.

Prime Factorization of 91824

Prime Factorization of 91840

Now multiplying the highest exponent prime factors to calculate the LCM of 91824 and 91840.

LCM(91824,91840) = 2⁶ × 3¹ × 1913¹ × 5¹ × 7¹ × 41¹
LCM(91824,91840) = 527069760