What is the Least Common Multiple of 74505 and 74509?

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 74505 and 74509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74505 and 74509, than apply into the LCM equation.

GCF(74505,74509) = 1
LCM(74505,74509) = ( 74505 × 74509) / 1
LCM(74505,74509) = 5551293045 / 1
LCM(74505,74509) = 5551293045

Least Common Multiple (LCM) of 74505 and 74509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74505 and 74509. First we will calculate the prime factors of 74505 and 74509.

Prime Factorization of 74505

Prime Factorization of 74509

Now multiplying the highest exponent prime factors to calculate the LCM of 74505 and 74509.

LCM(74505,74509) = 3¹ × 5¹ × 4967¹ × 74509¹
LCM(74505,74509) = 5551293045