What is the Least Common Multiple of 36032 and 36049?

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 36032 and 36049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36032 and 36049, than apply into the LCM equation.

GCF(36032,36049) = 1
LCM(36032,36049) = ( 36032 × 36049) / 1
LCM(36032,36049) = 1298917568 / 1
LCM(36032,36049) = 1298917568

Least Common Multiple (LCM) of 36032 and 36049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36032 and 36049. First we will calculate the prime factors of 36032 and 36049.

Prime Factorization of 36032

Prime Factorization of 36049

Now multiplying the highest exponent prime factors to calculate the LCM of 36032 and 36049.

LCM(36032,36049) = 2⁶ × 563¹ × 13¹ × 47¹ × 59¹
LCM(36032,36049) = 1298917568