What is the Least Common Multiple of 90478 and 90497?

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 90478 and 90497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90478 and 90497, than apply into the LCM equation.

GCF(90478,90497) = 19
LCM(90478,90497) = ( 90478 × 90497) / 19
LCM(90478,90497) = 8187987566 / 19
LCM(90478,90497) = 430946714

Least Common Multiple (LCM) of 90478 and 90497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90478 and 90497. First we will calculate the prime factors of 90478 and 90497.

Prime Factorization of 90478

Prime Factorization of 90497

Now multiplying the highest exponent prime factors to calculate the LCM of 90478 and 90497.

LCM(90478,90497) = 2¹ × 19¹ × 2381¹ × 11¹ × 433¹
LCM(90478,90497) = 430946714