What is the Least Common Multiple of 61040 and 61046?

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 61046 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 61046, than apply into the LCM equation.

GCF(61040,61046) = 2
LCM(61040,61046) = ( 61040 × 61046) / 2
LCM(61040,61046) = 3726247840 / 2
LCM(61040,61046) = 1863123920

Least Common Multiple (LCM) of 61040 and 61046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61040 and 61046. First we will calculate the prime factors of 61040 and 61046.

Prime Factorization of 61040

Prime Factorization of 61046

Now multiplying the highest exponent prime factors to calculate the LCM of 61040 and 61046.

LCM(61040,61046) = 2⁴ × 5¹ × 7¹ × 109¹ × 131¹ × 233¹
LCM(61040,61046) = 1863123920