What is the Least Common Multiple of 71478 and 71495?

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 71495 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 71495, than apply into the LCM equation.

GCF(71478,71495) = 1
LCM(71478,71495) = ( 71478 × 71495) / 1
LCM(71478,71495) = 5110319610 / 1
LCM(71478,71495) = 5110319610

Least Common Multiple (LCM) of 71478 and 71495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71478 and 71495. First we will calculate the prime factors of 71478 and 71495.

Prime Factorization of 71478

Prime Factorization of 71495

Now multiplying the highest exponent prime factors to calculate the LCM of 71478 and 71495.

LCM(71478,71495) = 2¹ × 3² × 11¹ × 19² × 5¹ × 79¹ × 181¹
LCM(71478,71495) = 5110319610