What is the Least Common Multiple of 91760 and 91774?

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 91760 and 91774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91760 and 91774, than apply into the LCM equation.

GCF(91760,91774) = 2
LCM(91760,91774) = ( 91760 × 91774) / 2
LCM(91760,91774) = 8421182240 / 2
LCM(91760,91774) = 4210591120

Least Common Multiple (LCM) of 91760 and 91774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91760 and 91774. First we will calculate the prime factors of 91760 and 91774.

Prime Factorization of 91760

Prime Factorization of 91774

Now multiplying the highest exponent prime factors to calculate the LCM of 91760 and 91774.

LCM(91760,91774) = 2⁴ × 5¹ × 31¹ × 37¹ × 45887¹
LCM(91760,91774) = 4210591120