What is the Least Common Multiple of 60335 and 60348?

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 60335 and 60348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60335 and 60348, than apply into the LCM equation.

GCF(60335,60348) = 1
LCM(60335,60348) = ( 60335 × 60348) / 1
LCM(60335,60348) = 3641096580 / 1
LCM(60335,60348) = 3641096580

Least Common Multiple (LCM) of 60335 and 60348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60335 and 60348. First we will calculate the prime factors of 60335 and 60348.

Prime Factorization of 60335

Prime Factorization of 60348

Now multiplying the highest exponent prime factors to calculate the LCM of 60335 and 60348.

LCM(60335,60348) = 5¹ × 11¹ × 1097¹ × 2² × 3¹ × 47¹ × 107¹
LCM(60335,60348) = 3641096580