What is the Least Common Multiple of 71478 and 71488?

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 71478 and 71488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71478 and 71488, than apply into the LCM equation.

GCF(71478,71488) = 2
LCM(71478,71488) = ( 71478 × 71488) / 2
LCM(71478,71488) = 5109819264 / 2
LCM(71478,71488) = 2554909632

Least Common Multiple (LCM) of 71478 and 71488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71478 and 71488. First we will calculate the prime factors of 71478 and 71488.

Prime Factorization of 71478

Prime Factorization of 71488

Now multiplying the highest exponent prime factors to calculate the LCM of 71478 and 71488.

LCM(71478,71488) = 2⁶ × 3² × 11¹ × 19² × 1117¹
LCM(71478,71488) = 2554909632