What is the Least Common Multiple of 7485 and 7505?

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 7485 and 7505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7485 and 7505, than apply into the LCM equation.

GCF(7485,7505) = 5
LCM(7485,7505) = ( 7485 × 7505) / 5
LCM(7485,7505) = 56174925 / 5
LCM(7485,7505) = 11234985

Least Common Multiple (LCM) of 7485 and 7505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7485 and 7505. First we will calculate the prime factors of 7485 and 7505.

Prime Factorization of 7485

Prime Factorization of 7505

Now multiplying the highest exponent prime factors to calculate the LCM of 7485 and 7505.

LCM(7485,7505) = 3¹ × 5¹ × 499¹ × 19¹ × 79¹
LCM(7485,7505) = 11234985