What is the Least Common Multiple of 60342 and 60349?

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 60349 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 60349, than apply into the LCM equation.

GCF(60342,60349) = 1
LCM(60342,60349) = ( 60342 × 60349) / 1
LCM(60342,60349) = 3641579358 / 1
LCM(60342,60349) = 3641579358

Least Common Multiple (LCM) of 60342 and 60349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60342 and 60349. First we will calculate the prime factors of 60342 and 60349.

Prime Factorization of 60342

Prime Factorization of 60349

Now multiplying the highest exponent prime factors to calculate the LCM of 60342 and 60349.

LCM(60342,60349) = 2¹ × 3¹ × 89¹ × 113¹ × 29¹ × 2081¹
LCM(60342,60349) = 3641579358