What is the Least Common Multiple of 77745 and 77749?

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 77745 and 77749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77745 and 77749, than apply into the LCM equation.

GCF(77745,77749) = 1
LCM(77745,77749) = ( 77745 × 77749) / 1
LCM(77745,77749) = 6044596005 / 1
LCM(77745,77749) = 6044596005

Least Common Multiple (LCM) of 77745 and 77749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77745 and 77749. First we will calculate the prime factors of 77745 and 77749.

Prime Factorization of 77745

Prime Factorization of 77749

Now multiplying the highest exponent prime factors to calculate the LCM of 77745 and 77749.

LCM(77745,77749) = 3¹ × 5¹ × 71¹ × 73¹ × 7¹ × 29¹ × 383¹
LCM(77745,77749) = 6044596005