What is the Least Common Multiple of 77840 and 77849?

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 77840 and 77849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77840 and 77849, than apply into the LCM equation.

GCF(77840,77849) = 1
LCM(77840,77849) = ( 77840 × 77849) / 1
LCM(77840,77849) = 6059766160 / 1
LCM(77840,77849) = 6059766160

Least Common Multiple (LCM) of 77840 and 77849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77840 and 77849. First we will calculate the prime factors of 77840 and 77849.

Prime Factorization of 77840

Prime Factorization of 77849

Now multiplying the highest exponent prime factors to calculate the LCM of 77840 and 77849.

LCM(77840,77849) = 2⁴ × 5¹ × 7¹ × 139¹ × 77849¹
LCM(77840,77849) = 6059766160