What is the Least Common Multiple of 74032 and 74040?

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 74032 and 74040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74032 and 74040, than apply into the LCM equation.

GCF(74032,74040) = 8
LCM(74032,74040) = ( 74032 × 74040) / 8
LCM(74032,74040) = 5481329280 / 8
LCM(74032,74040) = 685166160

Least Common Multiple (LCM) of 74032 and 74040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74032 and 74040. First we will calculate the prime factors of 74032 and 74040.

Prime Factorization of 74032

Prime Factorization of 74040

Now multiplying the highest exponent prime factors to calculate the LCM of 74032 and 74040.

LCM(74032,74040) = 2⁴ × 7¹ × 661¹ × 3¹ × 5¹ × 617¹
LCM(74032,74040) = 685166160