What is the Least Common Multiple of 59050 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 59050 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 59050 and 59060, than apply into the LCM equation.

GCF(59050,59060) = 10
LCM(59050,59060) = ( 59050 × 59060) / 10
LCM(59050,59060) = 3487493000 / 10
LCM(59050,59060) = 348749300

Least Common Multiple (LCM) of 59050 and 59060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59050 and 59060. First we will calculate the prime factors of 59050 and 59060.

Prime Factorization of 59050

Prime Factorization of 59060

Now multiplying the highest exponent prime factors to calculate the LCM of 59050 and 59060.

LCM(59050,59060) = 2² × 5² × 1181¹ × 2953¹
LCM(59050,59060) = 348749300