What is the Least Common Multiple of 62164 and 62172?

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 62164 and 62172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62164 and 62172, than apply into the LCM equation.

GCF(62164,62172) = 4
LCM(62164,62172) = ( 62164 × 62172) / 4
LCM(62164,62172) = 3864860208 / 4
LCM(62164,62172) = 966215052

Least Common Multiple (LCM) of 62164 and 62172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62164 and 62172. First we will calculate the prime factors of 62164 and 62172.

Prime Factorization of 62164

Prime Factorization of 62172

Now multiplying the highest exponent prime factors to calculate the LCM of 62164 and 62172.

LCM(62164,62172) = 2² × 15541¹ × 3² × 11¹ × 157¹
LCM(62164,62172) = 966215052