What is the Least Common Multiple of 71365 and 71374?

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 71374 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 71374, than apply into the LCM equation.

GCF(71365,71374) = 1
LCM(71365,71374) = ( 71365 × 71374) / 1
LCM(71365,71374) = 5093605510 / 1
LCM(71365,71374) = 5093605510

Least Common Multiple (LCM) of 71365 and 71374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71365 and 71374. First we will calculate the prime factors of 71365 and 71374.

Prime Factorization of 71365

Prime Factorization of 71374

Now multiplying the highest exponent prime factors to calculate the LCM of 71365 and 71374.

LCM(71365,71374) = 5¹ × 7¹ × 2039¹ × 2¹ × 127¹ × 281¹
LCM(71365,71374) = 5093605510