GCF and LCM Calculator Logo

What is the Least Common Multiple of 54951 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 (LCM) of 54951 and 54969 is 1006867173.

LCM(54951,54969) = 1006867173

LCM Calculator and
and

Least Common Multiple of 54951 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 54951 and 54969, than apply into the LCM equation.

GCF(54951,54969) = 3
LCM(54951,54969) = ( 54951 × 54969) / 3
LCM(54951,54969) = 3020601519 / 3
LCM(54951,54969) = 1006867173

Least Common Multiple (LCM) of 54951 and 54969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54951 and 54969. First we will calculate the prime factors of 54951 and 54969.

Prime Factorization of 54951

Prime factors of 54951 are 3, 13, 1409. Prime factorization of 54951 in exponential form is:

54951 = 31 × 131 × 14091

Prime Factorization of 54969

Prime factors of 54969 are 3, 73, 251. Prime factorization of 54969 in exponential form is:

54969 = 31 × 731 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 54951 and 54969.

LCM(54951,54969) = 31 × 131 × 14091 × 731 × 2511
LCM(54951,54969) = 1006867173