What is the Least Common Multiple of 59410 and 59426?

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 59410 and 59426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59410 and 59426, than apply into the LCM equation.

GCF(59410,59426) = 2
LCM(59410,59426) = ( 59410 × 59426) / 2
LCM(59410,59426) = 3530498660 / 2
LCM(59410,59426) = 1765249330

Least Common Multiple (LCM) of 59410 and 59426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59410 and 59426. First we will calculate the prime factors of 59410 and 59426.

Prime Factorization of 59410

Prime Factorization of 59426

Now multiplying the highest exponent prime factors to calculate the LCM of 59410 and 59426.

LCM(59410,59426) = 2¹ × 5¹ × 13¹ × 457¹ × 43¹ × 691¹
LCM(59410,59426) = 1765249330