What is the Least Common Multiple of 71744 and 71748?

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 71744 and 71748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71744 and 71748, than apply into the LCM equation.

GCF(71744,71748) = 4
LCM(71744,71748) = ( 71744 × 71748) / 4
LCM(71744,71748) = 5147488512 / 4
LCM(71744,71748) = 1286872128

Least Common Multiple (LCM) of 71744 and 71748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71744 and 71748. First we will calculate the prime factors of 71744 and 71748.

Prime Factorization of 71744

Prime Factorization of 71748

Now multiplying the highest exponent prime factors to calculate the LCM of 71744 and 71748.

LCM(71744,71748) = 2⁶ × 19¹ × 59¹ × 3² × 1993¹
LCM(71744,71748) = 1286872128