What is the Least Common Multiple of 56032 and 56049?

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 56032 and 56049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56032 and 56049, than apply into the LCM equation.

GCF(56032,56049) = 17
LCM(56032,56049) = ( 56032 × 56049) / 17
LCM(56032,56049) = 3140537568 / 17
LCM(56032,56049) = 184737504

Least Common Multiple (LCM) of 56032 and 56049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56032 and 56049. First we will calculate the prime factors of 56032 and 56049.

Prime Factorization of 56032

Prime Factorization of 56049

Now multiplying the highest exponent prime factors to calculate the LCM of 56032 and 56049.

LCM(56032,56049) = 2⁵ × 17¹ × 103¹ × 3¹ × 7¹ × 157¹
LCM(56032,56049) = 184737504