What is the Least Common Multiple of 59450 and 59458?

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 59450 and 59458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59450 and 59458, than apply into the LCM equation.

GCF(59450,59458) = 2
LCM(59450,59458) = ( 59450 × 59458) / 2
LCM(59450,59458) = 3534778100 / 2
LCM(59450,59458) = 1767389050

Least Common Multiple (LCM) of 59450 and 59458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59450 and 59458. First we will calculate the prime factors of 59450 and 59458.

Prime Factorization of 59450

Prime Factorization of 59458

Now multiplying the highest exponent prime factors to calculate the LCM of 59450 and 59458.

LCM(59450,59458) = 2¹ × 5² × 29¹ × 41¹ × 7¹ × 31¹ × 137¹
LCM(59450,59458) = 1767389050