What is the Least Common Multiple of 91880 and 91887?

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 91880 and 91887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91880 and 91887, than apply into the LCM equation.

GCF(91880,91887) = 1
LCM(91880,91887) = ( 91880 × 91887) / 1
LCM(91880,91887) = 8442577560 / 1
LCM(91880,91887) = 8442577560

Least Common Multiple (LCM) of 91880 and 91887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91880 and 91887. First we will calculate the prime factors of 91880 and 91887.

Prime Factorization of 91880

Prime Factorization of 91887

Now multiplying the highest exponent prime factors to calculate the LCM of 91880 and 91887.

LCM(91880,91887) = 2³ × 5¹ × 2297¹ × 3¹ × 109¹ × 281¹
LCM(91880,91887) = 8442577560