What is the Least Common Multiple of 47744 and 47749?

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 47744 and 47749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47744 and 47749, than apply into the LCM equation.

GCF(47744,47749) = 1
LCM(47744,47749) = ( 47744 × 47749) / 1
LCM(47744,47749) = 2279728256 / 1
LCM(47744,47749) = 2279728256

Least Common Multiple (LCM) of 47744 and 47749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47744 and 47749. First we will calculate the prime factors of 47744 and 47749.

Prime Factorization of 47744

Prime Factorization of 47749

Now multiplying the highest exponent prime factors to calculate the LCM of 47744 and 47749.

LCM(47744,47749) = 2⁷ × 373¹ × 13¹ × 3673¹
LCM(47744,47749) = 2279728256