What is the Least Common Multiple of 90726 and 90745?

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 90726 and 90745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90726 and 90745, than apply into the LCM equation.

GCF(90726,90745) = 1
LCM(90726,90745) = ( 90726 × 90745) / 1
LCM(90726,90745) = 8232930870 / 1
LCM(90726,90745) = 8232930870

Least Common Multiple (LCM) of 90726 and 90745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90726 and 90745. First we will calculate the prime factors of 90726 and 90745.

Prime Factorization of 90726

Prime Factorization of 90745

Now multiplying the highest exponent prime factors to calculate the LCM of 90726 and 90745.

LCM(90726,90745) = 2¹ × 3¹ × 15121¹ × 5¹ × 18149¹
LCM(90726,90745) = 8232930870