What is the Least Common Multiple of 71744 and 71751?

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 71751 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 71751, than apply into the LCM equation.

GCF(71744,71751) = 1
LCM(71744,71751) = ( 71744 × 71751) / 1
LCM(71744,71751) = 5147703744 / 1
LCM(71744,71751) = 5147703744

Least Common Multiple (LCM) of 71744 and 71751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71744 and 71751. First we will calculate the prime factors of 71744 and 71751.

Prime Factorization of 71744

Prime Factorization of 71751

Now multiplying the highest exponent prime factors to calculate the LCM of 71744 and 71751.

LCM(71744,71751) = 2⁶ × 19¹ × 59¹ × 3¹ × 23917¹
LCM(71744,71751) = 5147703744