What is the Least Common Multiple of 89991 and 90002?

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 89991 and 90002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89991 and 90002, than apply into the LCM equation.

GCF(89991,90002) = 11
LCM(89991,90002) = ( 89991 × 90002) / 11
LCM(89991,90002) = 8099369982 / 11
LCM(89991,90002) = 736306362

Least Common Multiple (LCM) of 89991 and 90002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89991 and 90002. First we will calculate the prime factors of 89991 and 90002.

Prime Factorization of 89991

Prime Factorization of 90002

Now multiplying the highest exponent prime factors to calculate the LCM of 89991 and 90002.

LCM(89991,90002) = 3⁴ × 11¹ × 101¹ × 2¹ × 4091¹
LCM(89991,90002) = 736306362