What is the Least Common Multiple of 60303 and 60313?

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 60303 and 60313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60303 and 60313, than apply into the LCM equation.

GCF(60303,60313) = 1
LCM(60303,60313) = ( 60303 × 60313) / 1
LCM(60303,60313) = 3637054839 / 1
LCM(60303,60313) = 3637054839

Least Common Multiple (LCM) of 60303 and 60313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60303 and 60313. First we will calculate the prime factors of 60303 and 60313.

Prime Factorization of 60303

Prime Factorization of 60313

Now multiplying the highest exponent prime factors to calculate the LCM of 60303 and 60313.

LCM(60303,60313) = 3¹ × 20101¹ × 11¹ × 5483¹
LCM(60303,60313) = 3637054839