What is the Least Common Multiple of 74032 and 74048?

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 74048 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 74048, than apply into the LCM equation.

GCF(74032,74048) = 16
LCM(74032,74048) = ( 74032 × 74048) / 16
LCM(74032,74048) = 5481921536 / 16
LCM(74032,74048) = 342620096

Least Common Multiple (LCM) of 74032 and 74048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74032 and 74048. First we will calculate the prime factors of 74032 and 74048.

Prime Factorization of 74032

Prime Factorization of 74048

Now multiplying the highest exponent prime factors to calculate the LCM of 74032 and 74048.

LCM(74032,74048) = 2⁶ × 7¹ × 661¹ × 13¹ × 89¹
LCM(74032,74048) = 342620096