What is the Least Common Multiple of 62152 and 62167?

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 62152 and 62167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62152 and 62167, than apply into the LCM equation.

GCF(62152,62167) = 1
LCM(62152,62167) = ( 62152 × 62167) / 1
LCM(62152,62167) = 3863803384 / 1
LCM(62152,62167) = 3863803384

Least Common Multiple (LCM) of 62152 and 62167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62152 and 62167. First we will calculate the prime factors of 62152 and 62167.

Prime Factorization of 62152

Prime Factorization of 62167

Now multiplying the highest exponent prime factors to calculate the LCM of 62152 and 62167.

LCM(62152,62167) = 2³ × 17¹ × 457¹ × 7¹ × 83¹ × 107¹
LCM(62152,62167) = 3863803384