What is the Least Common Multiple of 91968 and 91980?

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 91968 and 91980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91968 and 91980, than apply into the LCM equation.

GCF(91968,91980) = 12
LCM(91968,91980) = ( 91968 × 91980) / 12
LCM(91968,91980) = 8459216640 / 12
LCM(91968,91980) = 704934720

Least Common Multiple (LCM) of 91968 and 91980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91968 and 91980. First we will calculate the prime factors of 91968 and 91980.

Prime Factorization of 91968

Prime Factorization of 91980

Now multiplying the highest exponent prime factors to calculate the LCM of 91968 and 91980.

LCM(91968,91980) = 2⁶ × 3² × 479¹ × 5¹ × 7¹ × 73¹
LCM(91968,91980) = 704934720