What is the Least Common Multiple of 49120 and 49129?

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 49120 and 49129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49120 and 49129, than apply into the LCM equation.

GCF(49120,49129) = 1
LCM(49120,49129) = ( 49120 × 49129) / 1
LCM(49120,49129) = 2413216480 / 1
LCM(49120,49129) = 2413216480

Least Common Multiple (LCM) of 49120 and 49129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49120 and 49129. First we will calculate the prime factors of 49120 and 49129.

Prime Factorization of 49120

Prime Factorization of 49129

Now multiplying the highest exponent prime factors to calculate the LCM of 49120 and 49129.

LCM(49120,49129) = 2⁵ × 5¹ × 307¹ × 73¹ × 673¹
LCM(49120,49129) = 2413216480