What is the Least Common Multiple of 71355 and 71364?

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 71355 and 71364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71355 and 71364, than apply into the LCM equation.

GCF(71355,71364) = 3
LCM(71355,71364) = ( 71355 × 71364) / 3
LCM(71355,71364) = 5092178220 / 3
LCM(71355,71364) = 1697392740

Least Common Multiple (LCM) of 71355 and 71364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71355 and 71364. First we will calculate the prime factors of 71355 and 71364.

Prime Factorization of 71355

Prime Factorization of 71364

Now multiplying the highest exponent prime factors to calculate the LCM of 71355 and 71364.

LCM(71355,71364) = 3¹ × 5¹ × 67¹ × 71¹ × 2² × 19¹ × 313¹
LCM(71355,71364) = 1697392740