What is the Least Common Multiple of 59042 and 59060?

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 59042 and 59060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59042 and 59060, than apply into the LCM equation.

GCF(59042,59060) = 2
LCM(59042,59060) = ( 59042 × 59060) / 2
LCM(59042,59060) = 3487020520 / 2
LCM(59042,59060) = 1743510260

Least Common Multiple (LCM) of 59042 and 59060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59042 and 59060. First we will calculate the prime factors of 59042 and 59060.

Prime Factorization of 59042

Prime Factorization of 59060

Now multiplying the highest exponent prime factors to calculate the LCM of 59042 and 59060.

LCM(59042,59060) = 2² × 53¹ × 557¹ × 5¹ × 2953¹
LCM(59042,59060) = 1743510260