What is the Least Common Multiple of 49260 and 49267?

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 49260 and 49267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49260 and 49267, than apply into the LCM equation.

GCF(49260,49267) = 1
LCM(49260,49267) = ( 49260 × 49267) / 1
LCM(49260,49267) = 2426892420 / 1
LCM(49260,49267) = 2426892420

Least Common Multiple (LCM) of 49260 and 49267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49260 and 49267. First we will calculate the prime factors of 49260 and 49267.

Prime Factorization of 49260

Prime Factorization of 49267

Now multiplying the highest exponent prime factors to calculate the LCM of 49260 and 49267.

LCM(49260,49267) = 2² × 3¹ × 5¹ × 821¹ × 19¹ × 2593¹
LCM(49260,49267) = 2426892420