What is the Least Common Multiple of 59894 and 59906?

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 59894 and 59906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59894 and 59906, than apply into the LCM equation.

GCF(59894,59906) = 2
LCM(59894,59906) = ( 59894 × 59906) / 2
LCM(59894,59906) = 3588009964 / 2
LCM(59894,59906) = 1794004982

Least Common Multiple (LCM) of 59894 and 59906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59894 and 59906. First we will calculate the prime factors of 59894 and 59906.

Prime Factorization of 59894

Prime Factorization of 59906

Now multiplying the highest exponent prime factors to calculate the LCM of 59894 and 59906.

LCM(59894,59906) = 2¹ × 29947¹ × 7¹ × 11¹ × 389¹
LCM(59894,59906) = 1794004982