What is the Least Common Multiple of 60229 and 60242?

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 60229 and 60242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60229 and 60242, than apply into the LCM equation.

GCF(60229,60242) = 13
LCM(60229,60242) = ( 60229 × 60242) / 13
LCM(60229,60242) = 3628315418 / 13
LCM(60229,60242) = 279101186

Least Common Multiple (LCM) of 60229 and 60242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60229 and 60242. First we will calculate the prime factors of 60229 and 60242.

Prime Factorization of 60229

Prime Factorization of 60242

Now multiplying the highest exponent prime factors to calculate the LCM of 60229 and 60242.

LCM(60229,60242) = 13¹ × 41¹ × 113¹ × 2¹ × 7¹ × 331¹
LCM(60229,60242) = 279101186