What is the Least Common Multiple of 71408 and 71422?

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 71422 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 71422, than apply into the LCM equation.

GCF(71408,71422) = 2
LCM(71408,71422) = ( 71408 × 71422) / 2
LCM(71408,71422) = 5100102176 / 2
LCM(71408,71422) = 2550051088

Least Common Multiple (LCM) of 71408 and 71422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71408 and 71422. First we will calculate the prime factors of 71408 and 71422.

Prime Factorization of 71408

Prime Factorization of 71422

Now multiplying the highest exponent prime factors to calculate the LCM of 71408 and 71422.

LCM(71408,71422) = 2⁴ × 4463¹ × 13¹ × 41¹ × 67¹
LCM(71408,71422) = 2550051088