What is the Least Common Multiple of 90792 and 90800?

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 90792 and 90800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90792 and 90800, than apply into the LCM equation.

GCF(90792,90800) = 8
LCM(90792,90800) = ( 90792 × 90800) / 8
LCM(90792,90800) = 8243913600 / 8
LCM(90792,90800) = 1030489200

Least Common Multiple (LCM) of 90792 and 90800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90792 and 90800. First we will calculate the prime factors of 90792 and 90800.

Prime Factorization of 90792

Prime Factorization of 90800

Now multiplying the highest exponent prime factors to calculate the LCM of 90792 and 90800.

LCM(90792,90800) = 2⁴ × 3² × 13¹ × 97¹ × 5² × 227¹
LCM(90792,90800) = 1030489200