What is the Least Common Multiple of 77824 and 77840?

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 77824 and 77840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77824 and 77840, than apply into the LCM equation.

GCF(77824,77840) = 16
LCM(77824,77840) = ( 77824 × 77840) / 16
LCM(77824,77840) = 6057820160 / 16
LCM(77824,77840) = 378613760

Least Common Multiple (LCM) of 77824 and 77840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77824 and 77840. First we will calculate the prime factors of 77824 and 77840.

Prime Factorization of 77824

Prime Factorization of 77840

Now multiplying the highest exponent prime factors to calculate the LCM of 77824 and 77840.

LCM(77824,77840) = 2¹² × 19¹ × 5¹ × 7¹ × 139¹
LCM(77824,77840) = 378613760