What is the Least Common Multiple of 91980 and 91989?

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 91980 and 91989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91980 and 91989, than apply into the LCM equation.

GCF(91980,91989) = 9
LCM(91980,91989) = ( 91980 × 91989) / 9
LCM(91980,91989) = 8461148220 / 9
LCM(91980,91989) = 940127580

Least Common Multiple (LCM) of 91980 and 91989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91980 and 91989. First we will calculate the prime factors of 91980 and 91989.

Prime Factorization of 91980

Prime Factorization of 91989

Now multiplying the highest exponent prime factors to calculate the LCM of 91980 and 91989.

LCM(91980,91989) = 2² × 3³ × 5¹ × 7¹ × 73¹ × 3407¹
LCM(91980,91989) = 940127580