What is the Least Common Multiple of 60242 and 60259?

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 60242 and 60259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60242 and 60259, than apply into the LCM equation.

GCF(60242,60259) = 1
LCM(60242,60259) = ( 60242 × 60259) / 1
LCM(60242,60259) = 3630122678 / 1
LCM(60242,60259) = 3630122678

Least Common Multiple (LCM) of 60242 and 60259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60242 and 60259. First we will calculate the prime factors of 60242 and 60259.

Prime Factorization of 60242

Prime Factorization of 60259

Now multiplying the highest exponent prime factors to calculate the LCM of 60242 and 60259.

LCM(60242,60259) = 2¹ × 7¹ × 13¹ × 331¹ × 60259¹
LCM(60242,60259) = 3630122678