What is the Least Common Multiple of 71355 and 71370?

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 71370 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 71370, than apply into the LCM equation.

GCF(71355,71370) = 15
LCM(71355,71370) = ( 71355 × 71370) / 15
LCM(71355,71370) = 5092606350 / 15
LCM(71355,71370) = 339507090

Least Common Multiple (LCM) of 71355 and 71370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71355 and 71370. First we will calculate the prime factors of 71355 and 71370.

Prime Factorization of 71355

Prime Factorization of 71370

Now multiplying the highest exponent prime factors to calculate the LCM of 71355 and 71370.

LCM(71355,71370) = 3² × 5¹ × 67¹ × 71¹ × 2¹ × 13¹ × 61¹
LCM(71355,71370) = 339507090