What is the Least Common Multiple of 62058 and 62076?

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 62058 and 62076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62058 and 62076, than apply into the LCM equation.

GCF(62058,62076) = 6
LCM(62058,62076) = ( 62058 × 62076) / 6
LCM(62058,62076) = 3852312408 / 6
LCM(62058,62076) = 642052068

Least Common Multiple (LCM) of 62058 and 62076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62058 and 62076. First we will calculate the prime factors of 62058 and 62076.

Prime Factorization of 62058

Prime Factorization of 62076

Now multiplying the highest exponent prime factors to calculate the LCM of 62058 and 62076.

LCM(62058,62076) = 2² × 3¹ × 10343¹ × 7¹ × 739¹
LCM(62058,62076) = 642052068