What is the Least Common Multiple of 7600 and 7609?

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 7600 and 7609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7600 and 7609, than apply into the LCM equation.

GCF(7600,7609) = 1
LCM(7600,7609) = ( 7600 × 7609) / 1
LCM(7600,7609) = 57828400 / 1
LCM(7600,7609) = 57828400

Least Common Multiple (LCM) of 7600 and 7609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7609. First we will calculate the prime factors of 7600 and 7609.

Prime Factorization of 7600

Prime Factorization of 7609

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7609.

LCM(7600,7609) = 2⁴ × 5² × 19¹ × 7¹ × 1087¹
LCM(7600,7609) = 57828400