What is the Least Common Multiple of 58202 and 58216?

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 58202 and 58216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58202 and 58216, than apply into the LCM equation.

GCF(58202,58216) = 2
LCM(58202,58216) = ( 58202 × 58216) / 2
LCM(58202,58216) = 3388287632 / 2
LCM(58202,58216) = 1694143816

Least Common Multiple (LCM) of 58202 and 58216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58202 and 58216. First we will calculate the prime factors of 58202 and 58216.

Prime Factorization of 58202

Prime Factorization of 58216

Now multiplying the highest exponent prime factors to calculate the LCM of 58202 and 58216.

LCM(58202,58216) = 2³ × 29101¹ × 19¹ × 383¹
LCM(58202,58216) = 1694143816