What is the Least Common Multiple of 90538 and 90553?

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 90538 and 90553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90538 and 90553, than apply into the LCM equation.

GCF(90538,90553) = 1
LCM(90538,90553) = ( 90538 × 90553) / 1
LCM(90538,90553) = 8198487514 / 1
LCM(90538,90553) = 8198487514

Least Common Multiple (LCM) of 90538 and 90553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90538 and 90553. First we will calculate the prime factors of 90538 and 90553.

Prime Factorization of 90538

Prime Factorization of 90553

Now multiplying the highest exponent prime factors to calculate the LCM of 90538 and 90553.

LCM(90538,90553) = 2¹ × 7¹ × 29¹ × 223¹ × 83¹ × 1091¹
LCM(90538,90553) = 8198487514