What is the Least Common Multiple of 61045 and 61053?

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 61045 and 61053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61045 and 61053, than apply into the LCM equation.

GCF(61045,61053) = 1
LCM(61045,61053) = ( 61045 × 61053) / 1
LCM(61045,61053) = 3726980385 / 1
LCM(61045,61053) = 3726980385

Least Common Multiple (LCM) of 61045 and 61053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61045 and 61053. First we will calculate the prime factors of 61045 and 61053.

Prime Factorization of 61045

Prime Factorization of 61053

Now multiplying the highest exponent prime factors to calculate the LCM of 61045 and 61053.

LCM(61045,61053) = 5¹ × 29¹ × 421¹ × 3¹ × 47¹ × 433¹
LCM(61045,61053) = 3726980385