What is the Least Common Multiple of 59838 and 59857?

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 59838 and 59857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59838 and 59857, than apply into the LCM equation.

GCF(59838,59857) = 1
LCM(59838,59857) = ( 59838 × 59857) / 1
LCM(59838,59857) = 3581723166 / 1
LCM(59838,59857) = 3581723166

Least Common Multiple (LCM) of 59838 and 59857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59838 and 59857. First we will calculate the prime factors of 59838 and 59857.

Prime Factorization of 59838

Prime Factorization of 59857

Now multiplying the highest exponent prime factors to calculate the LCM of 59838 and 59857.

LCM(59838,59857) = 2¹ × 3¹ × 9973¹ × 7¹ × 17¹ × 503¹
LCM(59838,59857) = 3581723166