What is the Least Common Multiple of 59044 and 59050?

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 59044 and 59050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59044 and 59050, than apply into the LCM equation.

GCF(59044,59050) = 2
LCM(59044,59050) = ( 59044 × 59050) / 2
LCM(59044,59050) = 3486548200 / 2
LCM(59044,59050) = 1743274100

Least Common Multiple (LCM) of 59044 and 59050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59044 and 59050. First we will calculate the prime factors of 59044 and 59050.

Prime Factorization of 59044

Prime Factorization of 59050

Now multiplying the highest exponent prime factors to calculate the LCM of 59044 and 59050.

LCM(59044,59050) = 2² × 29¹ × 509¹ × 5² × 1181¹
LCM(59044,59050) = 1743274100