What is the Least Common Multiple of 91755 and 91760?

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 91755 and 91760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91755 and 91760, than apply into the LCM equation.

GCF(91755,91760) = 5
LCM(91755,91760) = ( 91755 × 91760) / 5
LCM(91755,91760) = 8419438800 / 5
LCM(91755,91760) = 1683887760

Least Common Multiple (LCM) of 91755 and 91760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91755 and 91760. First we will calculate the prime factors of 91755 and 91760.

Prime Factorization of 91755

Prime Factorization of 91760

Now multiplying the highest exponent prime factors to calculate the LCM of 91755 and 91760.

LCM(91755,91760) = 3² × 5¹ × 2039¹ × 2⁴ × 31¹ × 37¹
LCM(91755,91760) = 1683887760