What is the Least Common Multiple of 74070 and 74085?

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 74070 and 74085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74070 and 74085, than apply into the LCM equation.

GCF(74070,74085) = 15
LCM(74070,74085) = ( 74070 × 74085) / 15
LCM(74070,74085) = 5487475950 / 15
LCM(74070,74085) = 365831730

Least Common Multiple (LCM) of 74070 and 74085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74070 and 74085. First we will calculate the prime factors of 74070 and 74085.

Prime Factorization of 74070

Prime Factorization of 74085

Now multiplying the highest exponent prime factors to calculate the LCM of 74070 and 74085.

LCM(74070,74085) = 2¹ × 3² × 5¹ × 823¹ × 11¹ × 449¹
LCM(74070,74085) = 365831730