What is the Least Common Multiple of 71390 and 71408?

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 71390 and 71408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71390 and 71408, than apply into the LCM equation.

GCF(71390,71408) = 2
LCM(71390,71408) = ( 71390 × 71408) / 2
LCM(71390,71408) = 5097817120 / 2
LCM(71390,71408) = 2548908560

Least Common Multiple (LCM) of 71390 and 71408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71390 and 71408. First we will calculate the prime factors of 71390 and 71408.

Prime Factorization of 71390

Prime Factorization of 71408

Now multiplying the highest exponent prime factors to calculate the LCM of 71390 and 71408.

LCM(71390,71408) = 2⁴ × 5¹ × 11² × 59¹ × 4463¹
LCM(71390,71408) = 2548908560