What is the Least Common Multiple of 74235 and 74245?

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 74235 and 74245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74235 and 74245, than apply into the LCM equation.

GCF(74235,74245) = 5
LCM(74235,74245) = ( 74235 × 74245) / 5
LCM(74235,74245) = 5511577575 / 5
LCM(74235,74245) = 1102315515

Least Common Multiple (LCM) of 74235 and 74245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74235 and 74245. First we will calculate the prime factors of 74235 and 74245.

Prime Factorization of 74235

Prime Factorization of 74245

Now multiplying the highest exponent prime factors to calculate the LCM of 74235 and 74245.

LCM(74235,74245) = 3¹ × 5¹ × 7² × 101¹ × 31¹ × 479¹
LCM(74235,74245) = 1102315515