What is the Least Common Multiple of 71365 and 71377?

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 71365 and 71377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71365 and 71377, than apply into the LCM equation.

GCF(71365,71377) = 1
LCM(71365,71377) = ( 71365 × 71377) / 1
LCM(71365,71377) = 5093819605 / 1
LCM(71365,71377) = 5093819605

Least Common Multiple (LCM) of 71365 and 71377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71365 and 71377. First we will calculate the prime factors of 71365 and 71377.

Prime Factorization of 71365

Prime Factorization of 71377

Now multiplying the highest exponent prime factors to calculate the LCM of 71365 and 71377.

LCM(71365,71377) = 5¹ × 7¹ × 2039¹ × 137¹ × 521¹
LCM(71365,71377) = 5093819605