What is the Least Common Multiple of 74515 and 74535?

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 74515 and 74535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74515 and 74535, than apply into the LCM equation.

GCF(74515,74535) = 5
LCM(74515,74535) = ( 74515 × 74535) / 5
LCM(74515,74535) = 5553975525 / 5
LCM(74515,74535) = 1110795105

Least Common Multiple (LCM) of 74515 and 74535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74515 and 74535. First we will calculate the prime factors of 74515 and 74535.

Prime Factorization of 74515

Prime Factorization of 74535

Now multiplying the highest exponent prime factors to calculate the LCM of 74515 and 74535.

LCM(74515,74535) = 5¹ × 7¹ × 2129¹ × 3¹ × 4969¹
LCM(74515,74535) = 1110795105