What is the Least Common Multiple of 59942 and 59959?

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 59942 and 59959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59942 and 59959, than apply into the LCM equation.

GCF(59942,59959) = 17
LCM(59942,59959) = ( 59942 × 59959) / 17
LCM(59942,59959) = 3594062378 / 17
LCM(59942,59959) = 211415434

Least Common Multiple (LCM) of 59942 and 59959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59942 and 59959. First we will calculate the prime factors of 59942 and 59959.

Prime Factorization of 59942

Prime Factorization of 59959

Now multiplying the highest exponent prime factors to calculate the LCM of 59942 and 59959.

LCM(59942,59959) = 2¹ × 17¹ × 41¹ × 43¹ × 3527¹
LCM(59942,59959) = 211415434