What is the Least Common Multiple of 74158 and 74170?

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 74158 and 74170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74158 and 74170, than apply into the LCM equation.

GCF(74158,74170) = 2
LCM(74158,74170) = ( 74158 × 74170) / 2
LCM(74158,74170) = 5500298860 / 2
LCM(74158,74170) = 2750149430

Least Common Multiple (LCM) of 74158 and 74170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74158 and 74170. First we will calculate the prime factors of 74158 and 74170.

Prime Factorization of 74158

Prime Factorization of 74170

Now multiplying the highest exponent prime factors to calculate the LCM of 74158 and 74170.

LCM(74158,74170) = 2¹ × 7¹ × 5297¹ × 5¹ × 7417¹
LCM(74158,74170) = 2750149430