What is the Least Common Multiple of 60517 and 60533?

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 60517 and 60533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60517 and 60533, than apply into the LCM equation.

GCF(60517,60533) = 1
LCM(60517,60533) = ( 60517 × 60533) / 1
LCM(60517,60533) = 3663275561 / 1
LCM(60517,60533) = 3663275561

Least Common Multiple (LCM) of 60517 and 60533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60517 and 60533. First we will calculate the prime factors of 60517 and 60533.

Prime Factorization of 60517

Prime Factorization of 60533

Now multiplying the highest exponent prime factors to calculate the LCM of 60517 and 60533.

LCM(60517,60533) = 73¹ × 829¹ × 11¹ × 5503¹
LCM(60517,60533) = 3663275561