What is the Least Common Multiple of 74152 and 74171?

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 74152 and 74171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74152 and 74171, than apply into the LCM equation.

GCF(74152,74171) = 1
LCM(74152,74171) = ( 74152 × 74171) / 1
LCM(74152,74171) = 5499927992 / 1
LCM(74152,74171) = 5499927992

Least Common Multiple (LCM) of 74152 and 74171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74152 and 74171. First we will calculate the prime factors of 74152 and 74171.

Prime Factorization of 74152

Prime Factorization of 74171

Now multiplying the highest exponent prime factors to calculate the LCM of 74152 and 74171.

LCM(74152,74171) = 2³ × 13¹ × 23¹ × 31¹ × 17¹ × 4363¹
LCM(74152,74171) = 5499927992