What is the Least Common Multiple of 62106 and 62112?

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 62106 and 62112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62106 and 62112, than apply into the LCM equation.

GCF(62106,62112) = 6
LCM(62106,62112) = ( 62106 × 62112) / 6
LCM(62106,62112) = 3857527872 / 6
LCM(62106,62112) = 642921312

Least Common Multiple (LCM) of 62106 and 62112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62106 and 62112. First we will calculate the prime factors of 62106 and 62112.

Prime Factorization of 62106

Prime Factorization of 62112

Now multiplying the highest exponent prime factors to calculate the LCM of 62106 and 62112.

LCM(62106,62112) = 2⁵ × 3¹ × 11¹ × 941¹ × 647¹
LCM(62106,62112) = 642921312