What is the Least Common Multiple of 7748 and 7754?

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 7748 and 7754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7748 and 7754, than apply into the LCM equation.

GCF(7748,7754) = 2
LCM(7748,7754) = ( 7748 × 7754) / 2
LCM(7748,7754) = 60077992 / 2
LCM(7748,7754) = 30038996

Least Common Multiple (LCM) of 7748 and 7754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7748 and 7754. First we will calculate the prime factors of 7748 and 7754.

Prime Factorization of 7748

Prime Factorization of 7754

Now multiplying the highest exponent prime factors to calculate the LCM of 7748 and 7754.

LCM(7748,7754) = 2² × 13¹ × 149¹ × 3877¹
LCM(7748,7754) = 30038996