What is the Least Common Multiple of 91760 and 91780?

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 91780 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 91780, than apply into the LCM equation.

GCF(91760,91780) = 20
LCM(91760,91780) = ( 91760 × 91780) / 20
LCM(91760,91780) = 8421732800 / 20
LCM(91760,91780) = 421086640

Least Common Multiple (LCM) of 91760 and 91780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91760 and 91780. First we will calculate the prime factors of 91760 and 91780.

Prime Factorization of 91760

Prime Factorization of 91780

Now multiplying the highest exponent prime factors to calculate the LCM of 91760 and 91780.

LCM(91760,91780) = 2⁴ × 5¹ × 31¹ × 37¹ × 13¹ × 353¹
LCM(91760,91780) = 421086640