What is the Least Common Multiple of 88545 and 88562?

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 88545 and 88562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88545 and 88562, than apply into the LCM equation.

GCF(88545,88562) = 1
LCM(88545,88562) = ( 88545 × 88562) / 1
LCM(88545,88562) = 7841722290 / 1
LCM(88545,88562) = 7841722290

Least Common Multiple (LCM) of 88545 and 88562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88545 and 88562. First we will calculate the prime factors of 88545 and 88562.

Prime Factorization of 88545

Prime Factorization of 88562

Now multiplying the highest exponent prime factors to calculate the LCM of 88545 and 88562.

LCM(88545,88562) = 3¹ × 5¹ × 5903¹ × 2¹ × 44281¹
LCM(88545,88562) = 7841722290