What is the Least Common Multiple of 42032 and 42037?

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 42032 and 42037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42032 and 42037, than apply into the LCM equation.

GCF(42032,42037) = 1
LCM(42032,42037) = ( 42032 × 42037) / 1
LCM(42032,42037) = 1766899184 / 1
LCM(42032,42037) = 1766899184

Least Common Multiple (LCM) of 42032 and 42037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42032 and 42037. First we will calculate the prime factors of 42032 and 42037.

Prime Factorization of 42032

Prime Factorization of 42037

Now multiplying the highest exponent prime factors to calculate the LCM of 42032 and 42037.

LCM(42032,42037) = 2⁴ × 37¹ × 71¹ × 127¹ × 331¹
LCM(42032,42037) = 1766899184