What is the Least Common Multiple of 61040 and 61051?

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 61040 and 61051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61040 and 61051, than apply into the LCM equation.

GCF(61040,61051) = 1
LCM(61040,61051) = ( 61040 × 61051) / 1
LCM(61040,61051) = 3726553040 / 1
LCM(61040,61051) = 3726553040

Least Common Multiple (LCM) of 61040 and 61051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61040 and 61051. First we will calculate the prime factors of 61040 and 61051.

Prime Factorization of 61040

Prime Factorization of 61051

Now multiplying the highest exponent prime factors to calculate the LCM of 61040 and 61051.

LCM(61040,61051) = 2⁴ × 5¹ × 7¹ × 109¹ × 61051¹
LCM(61040,61051) = 3726553040