What is the Least Common Multiple of 54963 and 54969?

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 54963 and 54969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54963 and 54969, than apply into the LCM equation.

GCF(54963,54969) = 3
LCM(54963,54969) = ( 54963 × 54969) / 3
LCM(54963,54969) = 3021261147 / 3
LCM(54963,54969) = 1007087049

Least Common Multiple (LCM) of 54963 and 54969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54963 and 54969. First we will calculate the prime factors of 54963 and 54969.

Prime Factorization of 54963

Prime Factorization of 54969

Now multiplying the highest exponent prime factors to calculate the LCM of 54963 and 54969.

LCM(54963,54969) = 3² × 31¹ × 197¹ × 73¹ × 251¹
LCM(54963,54969) = 1007087049