GCF and LCM Calculator Logo

What is the Least Common Multiple of 7754 and 7773?

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 7754 and 7773 is 60271842.

LCM(7754,7773) = 60271842

LCM Calculator and
and

Least Common Multiple of 7754 and 7773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7754 and 7773, than apply into the LCM equation.

GCF(7754,7773) = 1
LCM(7754,7773) = ( 7754 × 7773) / 1
LCM(7754,7773) = 60271842 / 1
LCM(7754,7773) = 60271842

Least Common Multiple (LCM) of 7754 and 7773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7754 and 7773. First we will calculate the prime factors of 7754 and 7773.

Prime Factorization of 7754

Prime factors of 7754 are 2, 3877. Prime factorization of 7754 in exponential form is:

7754 = 21 × 38771

Prime Factorization of 7773

Prime factors of 7773 are 3, 2591. Prime factorization of 7773 in exponential form is:

7773 = 31 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 7754 and 7773.

LCM(7754,7773) = 21 × 38771 × 31 × 25911
LCM(7754,7773) = 60271842