What is the Least Common Multiple of 60342 and 60352?

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 60342 and 60352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60342 and 60352, than apply into the LCM equation.

GCF(60342,60352) = 2
LCM(60342,60352) = ( 60342 × 60352) / 2
LCM(60342,60352) = 3641760384 / 2
LCM(60342,60352) = 1820880192

Least Common Multiple (LCM) of 60342 and 60352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60342 and 60352. First we will calculate the prime factors of 60342 and 60352.

Prime Factorization of 60342

Prime Factorization of 60352

Now multiplying the highest exponent prime factors to calculate the LCM of 60342 and 60352.

LCM(60342,60352) = 2⁶ × 3¹ × 89¹ × 113¹ × 23¹ × 41¹
LCM(60342,60352) = 1820880192