What is the Least Common Multiple of 77949 and 77963?

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 77949 and 77963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77949 and 77963, than apply into the LCM equation.

GCF(77949,77963) = 1
LCM(77949,77963) = ( 77949 × 77963) / 1
LCM(77949,77963) = 6077137887 / 1
LCM(77949,77963) = 6077137887

Least Common Multiple (LCM) of 77949 and 77963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77949 and 77963. First we will calculate the prime factors of 77949 and 77963.

Prime Factorization of 77949

Prime Factorization of 77963

Now multiplying the highest exponent prime factors to calculate the LCM of 77949 and 77963.

LCM(77949,77963) = 3³ × 2887¹ × 53¹ × 1471¹
LCM(77949,77963) = 6077137887