What is the Least Common Multiple of 47754 and 47758?

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 47754 and 47758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47754 and 47758, than apply into the LCM equation.

GCF(47754,47758) = 2
LCM(47754,47758) = ( 47754 × 47758) / 2
LCM(47754,47758) = 2280635532 / 2
LCM(47754,47758) = 1140317766

Least Common Multiple (LCM) of 47754 and 47758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47754 and 47758. First we will calculate the prime factors of 47754 and 47758.

Prime Factorization of 47754

Prime Factorization of 47758

Now multiplying the highest exponent prime factors to calculate the LCM of 47754 and 47758.

LCM(47754,47758) = 2¹ × 3² × 7¹ × 379¹ × 23879¹
LCM(47754,47758) = 1140317766