What is the Least Common Multiple of 61032 and 61040?

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 61032 and 61040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61032 and 61040, than apply into the LCM equation.

GCF(61032,61040) = 8
LCM(61032,61040) = ( 61032 × 61040) / 8
LCM(61032,61040) = 3725393280 / 8
LCM(61032,61040) = 465674160

Least Common Multiple (LCM) of 61032 and 61040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61032 and 61040. First we will calculate the prime factors of 61032 and 61040.

Prime Factorization of 61032

Prime Factorization of 61040

Now multiplying the highest exponent prime factors to calculate the LCM of 61032 and 61040.

LCM(61032,61040) = 2⁴ × 3¹ × 2543¹ × 5¹ × 7¹ × 109¹
LCM(61032,61040) = 465674160