What is the Least Common Multiple of 62120 and 62129?

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 62120 and 62129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62120 and 62129, than apply into the LCM equation.

GCF(62120,62129) = 1
LCM(62120,62129) = ( 62120 × 62129) / 1
LCM(62120,62129) = 3859453480 / 1
LCM(62120,62129) = 3859453480

Least Common Multiple (LCM) of 62120 and 62129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62120 and 62129. First we will calculate the prime factors of 62120 and 62129.

Prime Factorization of 62120

Prime Factorization of 62129

Now multiplying the highest exponent prime factors to calculate the LCM of 62120 and 62129.

LCM(62120,62129) = 2³ × 5¹ × 1553¹ × 62129¹
LCM(62120,62129) = 3859453480