What is the Least Common Multiple of 91515 and 91535?

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 91515 and 91535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91515 and 91535, than apply into the LCM equation.

GCF(91515,91535) = 5
LCM(91515,91535) = ( 91515 × 91535) / 5
LCM(91515,91535) = 8376825525 / 5
LCM(91515,91535) = 1675365105

Least Common Multiple (LCM) of 91515 and 91535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91515 and 91535. First we will calculate the prime factors of 91515 and 91535.

Prime Factorization of 91515

Prime Factorization of 91535

Now multiplying the highest exponent prime factors to calculate the LCM of 91515 and 91535.

LCM(91515,91535) = 3¹ × 5¹ × 6101¹ × 18307¹
LCM(91515,91535) = 1675365105