What is the Least Common Multiple of 72750 and 72755?

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 72750 and 72755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72750 and 72755, than apply into the LCM equation.

GCF(72750,72755) = 5
LCM(72750,72755) = ( 72750 × 72755) / 5
LCM(72750,72755) = 5292926250 / 5
LCM(72750,72755) = 1058585250

Least Common Multiple (LCM) of 72750 and 72755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72750 and 72755. First we will calculate the prime factors of 72750 and 72755.

Prime Factorization of 72750

Prime Factorization of 72755

Now multiplying the highest exponent prime factors to calculate the LCM of 72750 and 72755.

LCM(72750,72755) = 2¹ × 3¹ × 5³ × 97¹ × 14551¹
LCM(72750,72755) = 1058585250