What is the Least Common Multiple of 7598 and 7615?

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 7598 and 7615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7598 and 7615, than apply into the LCM equation.

GCF(7598,7615) = 1
LCM(7598,7615) = ( 7598 × 7615) / 1
LCM(7598,7615) = 57858770 / 1
LCM(7598,7615) = 57858770

Least Common Multiple (LCM) of 7598 and 7615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7598 and 7615. First we will calculate the prime factors of 7598 and 7615.

Prime Factorization of 7598

Prime Factorization of 7615

Now multiplying the highest exponent prime factors to calculate the LCM of 7598 and 7615.

LCM(7598,7615) = 2¹ × 29¹ × 131¹ × 5¹ × 1523¹
LCM(7598,7615) = 57858770