What is the Least Common Multiple of 76212 and 76229?

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 76212 and 76229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76212 and 76229, than apply into the LCM equation.

GCF(76212,76229) = 1
LCM(76212,76229) = ( 76212 × 76229) / 1
LCM(76212,76229) = 5809564548 / 1
LCM(76212,76229) = 5809564548

Least Common Multiple (LCM) of 76212 and 76229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76212 and 76229. First we will calculate the prime factors of 76212 and 76229.

Prime Factorization of 76212

Prime Factorization of 76229

Now multiplying the highest exponent prime factors to calculate the LCM of 76212 and 76229.

LCM(76212,76229) = 2² × 3² × 29¹ × 73¹ × 31¹ × 2459¹
LCM(76212,76229) = 5809564548