What is the Least Common Multiple of 59813 and 59827?

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 59813 and 59827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59813 and 59827, than apply into the LCM equation.

GCF(59813,59827) = 1
LCM(59813,59827) = ( 59813 × 59827) / 1
LCM(59813,59827) = 3578432351 / 1
LCM(59813,59827) = 3578432351

Least Common Multiple (LCM) of 59813 and 59827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59813 and 59827. First we will calculate the prime factors of 59813 and 59827.

Prime Factorization of 59813

Prime Factorization of 59827

Now multiplying the highest exponent prime factors to calculate the LCM of 59813 and 59827.

LCM(59813,59827) = 13¹ × 43¹ × 107¹ × 29¹ × 2063¹
LCM(59813,59827) = 3578432351