What is the Least Common Multiple of 74358 and 74370?

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 74358 and 74370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74358 and 74370, than apply into the LCM equation.

GCF(74358,74370) = 6
LCM(74358,74370) = ( 74358 × 74370) / 6
LCM(74358,74370) = 5530004460 / 6
LCM(74358,74370) = 921667410

Least Common Multiple (LCM) of 74358 and 74370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74358 and 74370. First we will calculate the prime factors of 74358 and 74370.

Prime Factorization of 74358

Prime Factorization of 74370

Now multiplying the highest exponent prime factors to calculate the LCM of 74358 and 74370.

LCM(74358,74370) = 2¹ × 3⁷ × 17¹ × 5¹ × 37¹ × 67¹
LCM(74358,74370) = 921667410