What is the Least Common Multiple of 71451 and 71460?

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 71451 and 71460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71451 and 71460, than apply into the LCM equation.

GCF(71451,71460) = 9
LCM(71451,71460) = ( 71451 × 71460) / 9
LCM(71451,71460) = 5105888460 / 9
LCM(71451,71460) = 567320940

Least Common Multiple (LCM) of 71451 and 71460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71451 and 71460. First we will calculate the prime factors of 71451 and 71460.

Prime Factorization of 71451

Prime Factorization of 71460

Now multiplying the highest exponent prime factors to calculate the LCM of 71451 and 71460.

LCM(71451,71460) = 3² × 17¹ × 467¹ × 2² × 5¹ × 397¹
LCM(71451,71460) = 567320940