What is the Least Common Multiple of 42320 and 42336?

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 42320 and 42336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42320 and 42336, than apply into the LCM equation.

GCF(42320,42336) = 16
LCM(42320,42336) = ( 42320 × 42336) / 16
LCM(42320,42336) = 1791659520 / 16
LCM(42320,42336) = 111978720

Least Common Multiple (LCM) of 42320 and 42336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42320 and 42336. First we will calculate the prime factors of 42320 and 42336.

Prime Factorization of 42320

Prime Factorization of 42336

Now multiplying the highest exponent prime factors to calculate the LCM of 42320 and 42336.

LCM(42320,42336) = 2⁵ × 5¹ × 23² × 3³ × 7²
LCM(42320,42336) = 111978720