What is the Least Common Multiple of 59013 and 59030?

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 59013 and 59030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59013 and 59030, than apply into the LCM equation.

GCF(59013,59030) = 1
LCM(59013,59030) = ( 59013 × 59030) / 1
LCM(59013,59030) = 3483537390 / 1
LCM(59013,59030) = 3483537390

Least Common Multiple (LCM) of 59013 and 59030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59013 and 59030. First we will calculate the prime factors of 59013 and 59030.

Prime Factorization of 59013

Prime Factorization of 59030

Now multiplying the highest exponent prime factors to calculate the LCM of 59013 and 59030.

LCM(59013,59030) = 3² × 79¹ × 83¹ × 2¹ × 5¹ × 5903¹
LCM(59013,59030) = 3483537390