What is the Least Common Multiple of 90935 and 90940?

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 90935 and 90940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90935 and 90940, than apply into the LCM equation.

GCF(90935,90940) = 5
LCM(90935,90940) = ( 90935 × 90940) / 5
LCM(90935,90940) = 8269628900 / 5
LCM(90935,90940) = 1653925780

Least Common Multiple (LCM) of 90935 and 90940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90935 and 90940. First we will calculate the prime factors of 90935 and 90940.

Prime Factorization of 90935

Prime Factorization of 90940

Now multiplying the highest exponent prime factors to calculate the LCM of 90935 and 90940.

LCM(90935,90940) = 5¹ × 13¹ × 1399¹ × 2² × 4547¹
LCM(90935,90940) = 1653925780