What is the Least Common Multiple of 59107 and 59126?

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 59107 and 59126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59107 and 59126, than apply into the LCM equation.

GCF(59107,59126) = 1
LCM(59107,59126) = ( 59107 × 59126) / 1
LCM(59107,59126) = 3494760482 / 1
LCM(59107,59126) = 3494760482

Least Common Multiple (LCM) of 59107 and 59126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59107 and 59126. First we will calculate the prime factors of 59107 and 59126.

Prime Factorization of 59107

Prime Factorization of 59126

Now multiplying the highest exponent prime factors to calculate the LCM of 59107 and 59126.

LCM(59107,59126) = 59107¹ × 2¹ × 17¹ × 37¹ × 47¹
LCM(59107,59126) = 3494760482