What is the Least Common Multiple of 88489 and 88509?

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 88489 and 88509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88489 and 88509, than apply into the LCM equation.

GCF(88489,88509) = 1
LCM(88489,88509) = ( 88489 × 88509) / 1
LCM(88489,88509) = 7832072901 / 1
LCM(88489,88509) = 7832072901

Least Common Multiple (LCM) of 88489 and 88509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88489 and 88509. First we will calculate the prime factors of 88489 and 88509.

Prime Factorization of 88489

Prime Factorization of 88509

Now multiplying the highest exponent prime factors to calculate the LCM of 88489 and 88509.

LCM(88489,88509) = 107¹ × 827¹ × 3¹ × 163¹ × 181¹
LCM(88489,88509) = 7832072901