What is the Least Common Multiple of 74550 and 74565?

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 74550 and 74565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74550 and 74565, than apply into the LCM equation.

GCF(74550,74565) = 15
LCM(74550,74565) = ( 74550 × 74565) / 15
LCM(74550,74565) = 5558820750 / 15
LCM(74550,74565) = 370588050

Least Common Multiple (LCM) of 74550 and 74565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74550 and 74565. First we will calculate the prime factors of 74550 and 74565.

Prime Factorization of 74550

Prime Factorization of 74565

Now multiplying the highest exponent prime factors to calculate the LCM of 74550 and 74565.

LCM(74550,74565) = 2¹ × 3² × 5² × 7¹ × 71¹ × 1657¹
LCM(74550,74565) = 370588050