What is the Least Common Multiple of 88890 and 88909?

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 88890 and 88909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88890 and 88909, than apply into the LCM equation.

GCF(88890,88909) = 1
LCM(88890,88909) = ( 88890 × 88909) / 1
LCM(88890,88909) = 7903121010 / 1
LCM(88890,88909) = 7903121010

Least Common Multiple (LCM) of 88890 and 88909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88890 and 88909. First we will calculate the prime factors of 88890 and 88909.

Prime Factorization of 88890

Prime Factorization of 88909

Now multiplying the highest exponent prime factors to calculate the LCM of 88890 and 88909.

LCM(88890,88909) = 2¹ × 3¹ × 5¹ × 2963¹ × 67¹ × 1327¹
LCM(88890,88909) = 7903121010