What is the Least Common Multiple of 71475 and 71484?

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 71475 and 71484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71475 and 71484, than apply into the LCM equation.

GCF(71475,71484) = 3
LCM(71475,71484) = ( 71475 × 71484) / 3
LCM(71475,71484) = 5109318900 / 3
LCM(71475,71484) = 1703106300

Least Common Multiple (LCM) of 71475 and 71484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71475 and 71484. First we will calculate the prime factors of 71475 and 71484.

Prime Factorization of 71475

Prime Factorization of 71484

Now multiplying the highest exponent prime factors to calculate the LCM of 71475 and 71484.

LCM(71475,71484) = 3¹ × 5² × 953¹ × 2² × 7¹ × 23¹ × 37¹
LCM(71475,71484) = 1703106300