What is the Least Common Multiple of 90740 and 90752?

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 90740 and 90752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90740 and 90752, than apply into the LCM equation.

GCF(90740,90752) = 4
LCM(90740,90752) = ( 90740 × 90752) / 4
LCM(90740,90752) = 8234836480 / 4
LCM(90740,90752) = 2058709120

Least Common Multiple (LCM) of 90740 and 90752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90740 and 90752. First we will calculate the prime factors of 90740 and 90752.

Prime Factorization of 90740

Prime Factorization of 90752

Now multiplying the highest exponent prime factors to calculate the LCM of 90740 and 90752.

LCM(90740,90752) = 2⁷ × 5¹ × 13¹ × 349¹ × 709¹
LCM(90740,90752) = 2058709120