What is the Least Common Multiple of 71725 and 71744?

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 71725 and 71744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71725 and 71744, than apply into the LCM equation.

GCF(71725,71744) = 19
LCM(71725,71744) = ( 71725 × 71744) / 19
LCM(71725,71744) = 5145838400 / 19
LCM(71725,71744) = 270833600

Least Common Multiple (LCM) of 71725 and 71744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71725 and 71744. First we will calculate the prime factors of 71725 and 71744.

Prime Factorization of 71725

Prime Factorization of 71744

Now multiplying the highest exponent prime factors to calculate the LCM of 71725 and 71744.

LCM(71725,71744) = 5² × 19¹ × 151¹ × 2⁶ × 59¹
LCM(71725,71744) = 270833600