What is the Least Common Multiple of 90998 and 91003?

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 90998 and 91003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90998 and 91003, than apply into the LCM equation.

GCF(90998,91003) = 1
LCM(90998,91003) = ( 90998 × 91003) / 1
LCM(90998,91003) = 8281090994 / 1
LCM(90998,91003) = 8281090994

Least Common Multiple (LCM) of 90998 and 91003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90998 and 91003. First we will calculate the prime factors of 90998 and 91003.

Prime Factorization of 90998

Prime Factorization of 91003

Now multiplying the highest exponent prime factors to calculate the LCM of 90998 and 91003.

LCM(90998,91003) = 2¹ × 173¹ × 263¹ × 11¹ × 8273¹
LCM(90998,91003) = 8281090994