What is the Least Common Multiple of 71415 and 71430?

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 71415 and 71430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71415 and 71430, than apply into the LCM equation.

GCF(71415,71430) = 15
LCM(71415,71430) = ( 71415 × 71430) / 15
LCM(71415,71430) = 5101173450 / 15
LCM(71415,71430) = 340078230

Least Common Multiple (LCM) of 71415 and 71430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71415 and 71430. First we will calculate the prime factors of 71415 and 71430.

Prime Factorization of 71415

Prime Factorization of 71430

Now multiplying the highest exponent prime factors to calculate the LCM of 71415 and 71430.

LCM(71415,71430) = 3³ × 5¹ × 23² × 2¹ × 2381¹
LCM(71415,71430) = 340078230