What is the Least Common Multiple of 45509 and 45526?

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 45509 and 45526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45509 and 45526, than apply into the LCM equation.

GCF(45509,45526) = 17
LCM(45509,45526) = ( 45509 × 45526) / 17
LCM(45509,45526) = 2071842734 / 17
LCM(45509,45526) = 121873102

Least Common Multiple (LCM) of 45509 and 45526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45509 and 45526. First we will calculate the prime factors of 45509 and 45526.

Prime Factorization of 45509

Prime Factorization of 45526

Now multiplying the highest exponent prime factors to calculate the LCM of 45509 and 45526.

LCM(45509,45526) = 17¹ × 2677¹ × 2¹ × 13¹ × 103¹
LCM(45509,45526) = 121873102