What is the Least Common Multiple of 72750 and 72762?

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 72762 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 72762, than apply into the LCM equation.

GCF(72750,72762) = 6
LCM(72750,72762) = ( 72750 × 72762) / 6
LCM(72750,72762) = 5293435500 / 6
LCM(72750,72762) = 882239250

Least Common Multiple (LCM) of 72750 and 72762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72750 and 72762. First we will calculate the prime factors of 72750 and 72762.

Prime Factorization of 72750

Prime Factorization of 72762

Now multiplying the highest exponent prime factors to calculate the LCM of 72750 and 72762.

LCM(72750,72762) = 2¹ × 3¹ × 5³ × 97¹ × 67¹ × 181¹
LCM(72750,72762) = 882239250