What is the Least Common Multiple of 90990 and 91002?

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 90990 and 91002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90990 and 91002, than apply into the LCM equation.

GCF(90990,91002) = 6
LCM(90990,91002) = ( 90990 × 91002) / 6
LCM(90990,91002) = 8280271980 / 6
LCM(90990,91002) = 1380045330

Least Common Multiple (LCM) of 90990 and 91002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90990 and 91002. First we will calculate the prime factors of 90990 and 91002.

Prime Factorization of 90990

Prime Factorization of 91002

Now multiplying the highest exponent prime factors to calculate the LCM of 90990 and 91002.

LCM(90990,91002) = 2¹ × 3³ × 5¹ × 337¹ × 29¹ × 523¹
LCM(90990,91002) = 1380045330