What is the Least Common Multiple of 71408 and 71427?

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 71408 and 71427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71408 and 71427, than apply into the LCM equation.

GCF(71408,71427) = 1
LCM(71408,71427) = ( 71408 × 71427) / 1
LCM(71408,71427) = 5100459216 / 1
LCM(71408,71427) = 5100459216

Least Common Multiple (LCM) of 71408 and 71427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71408 and 71427. First we will calculate the prime factors of 71408 and 71427.

Prime Factorization of 71408

Prime Factorization of 71427

Now multiplying the highest exponent prime factors to calculate the LCM of 71408 and 71427.

LCM(71408,71427) = 2⁴ × 4463¹ × 3¹ × 29¹ × 821¹
LCM(71408,71427) = 5100459216