What is the Least Common Multiple of 20750 and 20765?

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 20750 and 20765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20750 and 20765, than apply into the LCM equation.

GCF(20750,20765) = 5
LCM(20750,20765) = ( 20750 × 20765) / 5
LCM(20750,20765) = 430873750 / 5
LCM(20750,20765) = 86174750

Least Common Multiple (LCM) of 20750 and 20765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20750 and 20765. First we will calculate the prime factors of 20750 and 20765.

Prime Factorization of 20750

Prime Factorization of 20765

Now multiplying the highest exponent prime factors to calculate the LCM of 20750 and 20765.

LCM(20750,20765) = 2¹ × 5³ × 83¹ × 4153¹
LCM(20750,20765) = 86174750