What is the Least Common Multiple of 90390 and 90410?

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 90390 and 90410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90390 and 90410, than apply into the LCM equation.

GCF(90390,90410) = 10
LCM(90390,90410) = ( 90390 × 90410) / 10
LCM(90390,90410) = 8172159900 / 10
LCM(90390,90410) = 817215990

Least Common Multiple (LCM) of 90390 and 90410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90390 and 90410. First we will calculate the prime factors of 90390 and 90410.

Prime Factorization of 90390

Prime Factorization of 90410

Now multiplying the highest exponent prime factors to calculate the LCM of 90390 and 90410.

LCM(90390,90410) = 2¹ × 3¹ × 5¹ × 23¹ × 131¹ × 9041¹
LCM(90390,90410) = 817215990